番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-12/

1. Minor exclusion and planar rigidity
2. LInearity of Tubular Groups
3. Quasipositive Braids, Presentations, and Garside Structures
4. On the number of conjugacy classes of finite solvable groups of order divisible by $p^2$
5. Cohomology and multiplicative gaps for quasi-isometries of nilpotent groups
6. Classes of Subgroups of a finite group with isomorphic quotient groups
7. On $p$-groups with one nonlinear codegree
8. $D^L$, $D^Q$ Spectrum and Eigenvalue-free Interval of Cayley Graphs over Finite Nilpotent Groups
9. Property $R_\infty$ for Artin and Coxeter groups whose outer automorphisms are length-preserving
10. The finite basis problem for varieties generated by all semirings of a fixed order
11. The six-element additively idempotent semiring $B_2^1$ is inherently nonfinitely based
12. Recognizing oriented knots from finite quotients with one marked element
13. Actions of Fell bundles, II: tensor products and Fourier-Stieltjes algebras
14. Linearity of Graph Manifold Groups
15. Two-orbit right-angled Polytopes and Hypertopes

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-09/

1. The Conway-Wales lattice and the Rudvalis and Tits groups
2. Local Presentations of Groups: Completion and Smith's Conjecture
3. Infinite girth and profinite properties of residually finite groups
4. Almost all finite groups are $2$-groups of class two
5. Uniform small cancellation in torsion-free hyperbolic groups
6. Conjugacy problems in higher-dimensional Thompson groups
7. Finite index rigidity of free-by-cyclic groups
8. A generalization of the sum of element orders function
9. Idempotence criteria for lazy cellular automata
10. Finite bases for Brandt semirings and naturally semilattice-ordered inverse semigroups
11. Self measurable embeddings of mapping class groups
12. Group maps on initial intervals
13. Mal'cev products of rings satisfying $x^n\approx x$ and idempotent semirings
14. A proof of the Galt--Tyutyanov conjecture on Skiba's question
15. Ordinary $G$-permutable subgroups of finite simple groups
16. Condensed Whitehead Problem
17. Reciprocity for projective and injective direct summands
18. Bounded cohomology of transformation groups in all degrees
19. Weak and genuine A_n-formality for number fields
20. Noncrossing combinatorics of quasi-Coxeter elements
21. Higher-rank local mixing for cusped positive representations
22. Coloring graphs of homologous spheres

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-08/

1. Infinitely many Nielsen classes in mapping class groups and free-group automorphism groups
2. A continuum of coarse medians for all mapping class groups and right-angled groups
3. Abelian composition factors of finite rational groups
4. Higher Brin--Thompson groups are Kazhdan
5. $\ell^2$-Betti numbers and $\Sigma$-invariants of graph products of cyclic groups and their automorphisms
6. Hypertopes with prescribed diagram symmetries
7. Frattini Geometry of Non-Generating Complexes: Symmetry, Homology and Betti Numbers
8. On the residual finiteness of the non-abelian exterior square of wreath products and the Grigorchuk group
9. Finite index extensions of treeable equivalence relations are treeable
10. On unifying Jones representations of braid groups and Thompson's group
11. Asymptotic connectivity, hamiltonicity and toughness
12. Finite Chains of Two-Complexes and Acyclic Covers
13. Nullhomotopic equivariant shifts and Borsuk-Ulam-compatible compact abelian groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-07/

1. Unipotent automorphisms of modular group algebras and the homology of the Lazard Lie algebra
2. Boundary Algorithms for Thompson Groups
3. On weak commutativity between $n$ isomorphic groups, $n \geq 2$
4. From stylic monoid to Catalan monoid
5. Testing epimorphism onto the bicyclic monoid is $\mathsf{NP}$-complete
6. Cayley graph diameters for fixed cycle types are eventually quasipolynomial
7. Counterexamples to the continuous Aldous-Lyons conjecture
8. Abelian quotients and the largest orbit sizes of linear groups of odd order
9. Irreducibility of Endomorphisms of Finitely Generated Free Semigroups
10. On open covers of aspherical spaces satisfying $\pi_1$-constraints and bounded Adamson cohomology
11. Representations of the infinite Cuntz algebra
12. Counterexamples to Hardy--Littlewood maximal inequalities on solvable groups
13. Almost Tight Bounds for Isomorphism Testing and Basis Construction in Finite Abelian Groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-06/

1. Arc-disjoint Hamiltonian paths in Cayley digraphs with a normal difference subgroup
2. Groups of Class Transpositions with Prescribed Prime Divisors of the Moduli
3. Asymptotic Schur orthogonality for lattices
4. A non-plain virtually free group with a strictly 2-geodetic Cayley graph
5. The van Est theorem for Rota-Baxter Lie groups
6. Presentation of Borel subgroups of Kac-Moody groups over local rings
7. Conjugacy and period in symmetric diagram groups
8. The group class SJ is not countably recognizable
9. Uniquely Ergodic Branching Subset Currents on Free and Surface Groups
10. Subgroup and Submonoid Membership in the lampshuffler of $\mathbb{Z}$
11. Polynomial filling functions of sublevel sets in $\mathrm{CAT}(0)$ cube complexes
12. Equational Theories of Interval Semirings of Posets
13. Higher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-Manifolds
14. Amenable groups with nearly exponential sofic profile, and quantum channels that need nearly linear memory
15. Torsion of every finite order in the homology of graph braid groups
16. Extension properties for partial permutations
17. Enumeration of Upper Triangular Symplectic Renner Monoids
18. Polynomial families of incident flags and explicit off-diagonal Ramsey graphs
19. Profinite rigidity and quandle colourings
20. The Brou\'e invariant of a Morita equivalence with an endopermutation source
21. A Cohomological Characterization of the Clifford Hierarchy

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-05/

1. Soficity of One-Relator Groups
2. On the residual finiteness of the non-abelian exterior square of some Artin groups, constructible soluble groups, generalised Baumslag-Solitar groups and $SL_n(\Z)$
3. Prime Graphs of Locally Torsion Ultragroups, Metanilpotent Groups, and $T$-Solvable Groups
4. Uniform Upper Bounds for Conjugacy Separability Growth in Nilpotent Groups
5. Arithmetic properties of solubilizers
6. Menger Curve and Non-Planar Boundaries in Quotients of Hyperbolic Groups
7. On the type of a complex hyperbolic triangle group
8. Arbitrary Stage Spectra for Raikov Remainders Along Quotient Towers
9. Proving at Scale for Universal Algebra
10. Reflections on branched covers
11. Large-scale rank and geometry of the Lipschitz metric on geodesic currents
12. QWEP stability under twisted crossed products

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-02/

1. Detecting Cohomological Dimension Three in Free-by-Demu\v{s}kin Pro-$p$ Groups
2. A note on the non-abelian tensor squares of linear groups
3. Finite Non-$p$-Groups with 5 Automorphism Orbits
4. A one-sided Auslander--Lyndon theorem
5. Watkins's conjecture holds for all infinite groups
6. Tilings of symmetric and alternating groups by conjugacy classes
7. Finite abelian groups are Schur multipliers of finite solvable groups
8. Finite bases for full power semirings of finite nilpotent semigroups
9. A power-commutator presentation for the group of truncated polynomials under substitution
10. Rotational Trajectory Synopsis Groups
11. Finite Orders of Products of Two Class Transpositions Divide 840
12. Dimension subrings of Lie rings
13. Prime Graphs of Infinite Groups
14. Beyond odd characteristic: Faster isomorphism testing of 2-groups of Frattini class 2
15. Infinite free pro-p products as absolute Galois groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-01/

1. Skew-product groups of finite abelian $p$-groups
2. On a generalization of the Reidemeister spectrum of a finite group
3. Common non-zero graphs of groups with few edges
4. The Margolis-Rhodes Monoid of a Graph
5. Carter-like theorems for skew braces
6. The Finite Basis Problem for Semirings of Order Four
7. The finite basis problem for flat semirings $S_c(W)$, $M_c(W)$ and $M(W)$
8. Tensor factorization of local algebras
9. $\mathcal{Z}$-stable and selfless inclusions for the infinite braid group
10. Profinite completions and cohomology jump loci
11. Explicit Witnesses at Every Gap of the Depth Filtration of $\beta\mathbb{N}$
12. Local spectral gap and the Stuck--Zimmer conjecture
13. Connes-embeddability and twisted group von Neumann algebras
14. Quantum Algorithms for Minimum Generating Set
15. CAS II: Symmetric Partitions as Kolmogorov Models
16. Singularity of harmonic measures for hyperbolic lattices

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-30/

1. Small Kazhdan constants for small generating sets of linear groups
2. The classification of endpoint-transitive graphs with geodesic condition
3. Redundant generation in $\operatorname{PSL}_2\left(\mathbb{Q}_p\right)$
4. Additive subgroups of Q: logarithmic description and intersection configurations
5. Every countable group embeds in a group of type $\mathrm{FP}_n$
6. Local conjugacy in prosolvable groups
7. Spectral gap, internality of relative commutants, and non-hyperlinear groups
8. Absolute moved spaces and noncrossing partition posets in arbitrary Coxeter groups
9. On certain classes of commutative g-dimonoids
10. Lazard's Realization Problem for N-Series: Bar Obstructions and Finite-Quotient Descent
11. A constructive ATLAS of finite simple groups in Lean
12. Sample Complexity of Equivariant Reinforcement Learning
13. Farey Symbols for the Picard Group
14. On Boston's Unramified Conjecture for $\GL_2$ and McLeman's $(3,3)$-Conjecture
15. The small Davenport constant of $E_2\times C_3^r$ for $0\le r\le3$
16. Absolutely irreducible modules via James triples
17. A Galois-equivariant Dade-Glauberman-Nagao correspondence with central defect

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-29/

1. Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime order
2. Detecting divisibility in uniquely divisible $\mathfrak{N}$-semigroups via homomorphisms to $\mathbb{R}_{>0}$
3. The finite basis problem for additively idempotent semirings of order four, IV
4. The finite basis problem for $2\times 2$ triangular Boolean matrix semirings and incidence semirings
5. Matrix varieties over $S_7$: dimension-three stability and continuum-sized subvariety intervals
6. Bandwidth limited functions on locally compact abelian groups
7. Maximal subgroups of topological full groups arising from factor maps and subgroupoids
8. The Conway-Parker algebra and the largest Fischer group
9. A Reduction Theorem for the Alperin-McKay-Navarro Conjecture
10. Analytic, geometric and measured aspects of lamplighter-like groups
11. Finite-valued invariant metrics and a classification of natural groups
12. Mazurov's question on fixed points of automorphisms of free Burnside groups
13. On the residual finiteness of the non-abelian tensor square $G \otimes G$, the non-abelian exterior square $G \wedge G$ and the weak commutativity construction $\X(G)$
14. Borel complexity for product of trees and commuting partial maps
15. The lattice of varieties of semigroups with completely regular square. II
16. Bounded-orbit lattice representations of finite groups
17. Green languages and growth of free inverse monoids
18. Free abelian quotients of commensurators
19. Classification of finite left-simple skew braces
20. On the number of $\ell$-regular conjugacy classes
21. Finiteness properties of profinite blocks and blocks with defect group $\mathbb Z_p^n$
22. The automorphism group of the derangement graph of $\operatorname{PGL}_{2}(q)$ acting on the projective line
23. The fields generated by character values of linear and unitary groups
24. Multiplicativity of the weak Haagerup constant
25. Gr\"{u}n's Lemma for Semiassociative Mal'cev Algebras
26. Unique equivariant pseudo expectation and generalized Powers averaging for crossed product

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-28/

1. Uniformly Lipschitz Hyperbolic Group Actions on $\ell^p$
2. The word problem in verbal products of groups
3. On the order of a finite group with trivial centre and bounded conjugacy classes
4. The Robust Thompson's Conjecture for Alternating Groups
5. Motion planning invariants and families of subgroups
6. Horizon saddle connections and Veech groups of infinite-type dilation surfaces
7. Profinite Non-Rigidity of Arithmetic Lattices and the K\"ahler Property

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-25/

1. Graphical Discreteness, Coxeter Doublings and Generalized Polygons
2. Heat kernels on Cayley graphs of free products of finite groups
3. Pro-$\mathbf H_p$ density in the free group of rank two: a Frobenian criterion on the mod-$p$ torus
4. Quasiisometry invariance of relatively hyperbolic TDLC groups
5. On the language of palindromic reduced words in a Coxeter group
6. Proof of the positive trace gap conjecture
7. On symmetric and twisted-unitary modular units in group rings
8. A Huppert-type $\rho^*$--$\sigma^*$ theorem for sub-class sizes
9. On vanishing and Hausdorffness of asymptotic cohomology
10. Coprime automorphisms of profinite groups and the commuting probability of Sylow subgroups
11. A finitely generated ICC non property (T) group that is neither inner amenable nor properly proximal
12. High Rank and Multiplicity in Random and Perfect Profinite Groups
13. $\mathrm{C}^*$-selflessness of vigorous groups
14. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem
15. Existence of a Model Companion for Groups of Exponent 3

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-24/

1. Zeros and Roots of Unity for Characters of Solvable Groups
2. On the inductive Giannelli-McKay condition for sporadic groups
3. Hurwitz Equivalence of Reflection Factorizations in Types $B$ and $D$
4. Finite quotients of spherical Artin groups
5. Cosets with constant characteristic polynomial
6. Inherently nonfinitely based additively idempotent semirings
7. Some Infinite Families of Arithmetic Symplectic Hypergeometric Groups
8. A conditional construction of a nonhyperlinear group and the centralizer problem
9. Bergman's amalgamation problem over the circle
10. Solubility from a disconnected common-divisor graph on $p$-regular conjugacy-class sizes
11. Bisoluble and Binilpotent Skew Braces of Finite Morley Rank
12. Rank properties of commutators in finite groups
13. Sylow synchronization in finite groups: the good case
14. Geometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groups
15. Bounded cohomology, Codimension two submanifolds and Pontryagin-Thom constructions
16. Definite integral Albert algebras: arithmetic and finite geometry
17. Finiteness of closed arithmetic hyperbolic surface bundles

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-23/

1. A compactness theorem for twisted-unitary elements of integral group rings, with a certified route to the theta-unitary Case A at window B(4) of the Promislow group
2. The domain question for the Nielsen-Soelberg group rings: the commutative case, with certified ball checks
3. Margulis-Soifer theorem for one-relator groups
4. The universal valued Abelian groups of Niemiec are L\'{e}vy, strongly exotic, extremely amenable, and $\mathbb{G}_r(0)$ is generically monothetic
5. A note on maximal subgroups of countable groups
6. On the measure of definable sets in profinite groups
7. The finite basis problem for all subvarieties of the variety $\mathsf{V}(S^0_7)$
8. The unique limit subvariety of the max-plus variety and finite basis properties
9. Smallest quotients and profinite rigidity of irreducible spherical type Artin groups
10. Nonfinitely based intervals of power semiring varieties
11. On the index map for AF-by-discrete groupoids
12. Finite Soluble Groups Need Not Admit Increasing Unrefinable Subgroup Chains
13. Word Length and Diameter in Permutation Groups
14. Finite bases and joins for semirings defined by the divisibility order
15. Finite Bases for Truncated Cyclic Group Flat Semirings with Two Independent Parameters
16. Refining invariants of finite groups with class functions
17. A Counterexample to a Conjecture of Moreto
18. Nonabelian Torus Exteriors in $\mathbb S^4$ and Torus Replacement in Four-Manifolds
19. The unique extremal threemodular lattice of rank 26, the generalized hexagon $(2,8)$, and the tight Cayley-plane $5$-design
20. Solvability of isotropic $ \mathrm{K}_1 $-functor over semilocal rings
21. Product subcomplexes and intersection complexes of weakly special square complexes
22. 4-manifold topology and collision rank of groups
23. On the generation of multiplicative groups by small primes
24. On inversion sets of joins in weak Bruhat order
25. Structural Characterizations and Algebraic Realizations of a Family of Regular Integral Graphs
26. Resultant of an equivariant polynomial system with respect to a direct product of $r$ symmetric groups
27. Non-determinism in group actions and topological minimal self-joinings
28. An ICC group with property (T) that is not properly proximal
29. The existence and uniqueness of magic-faced hypercubes, and applications to Khajuraho most-perfect magic squares, cubes, and hypercubes

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-22/

1. A Machine-Checked Proof that Gardam's $\tilde{A}_2$ Lattice Does Not Have Unique Products
2. Compatible additions on a six-element commutative semigroup: equational bases and subvariety lattices
3. Skew braces whose left series is not generated by right-normed star products
4. On Intersections of System Normalizers
5. The Hall-Janko Simple Group and the Icosian Leech Lattice
6. Octonions, Albert vectors and the group ${}^2 \mathrm{E}_6(F)$
7. Boundary Kernel Rigidity and Infinite-Dimensional Complex Hyperbolic Representations
8. On the Moufang condition for polar spaces
9. Computing Bogomolov multipliers and finitary Bogomolov multipliers of infinite groups
10. Characterizing normal Hall subgroups by character degrees, II
11. Random groups in the square model have property (T) at densities over $\frac{5}{12}$
12. Exotic Unit Groups of Sylvester Rank Completions
13. A Continuum in the Lattice of Semiring Varieties: The Interval $[\mathsf{V}(S), \mathsf{V}(S^0)]$
14. Commutators of signed $n$-cycles
15. Inverse Baer deformations and finite simple skew braces of nilpotent type
16. Skew braces of size $p^2q^2$. The cyclic Sylow $q$-subgroup case
17. On the inductive blockwise Alperin weight condition for type $\mathsf B$ and type $\mathsf C$
18. Determinant for automorphisms of Zappa-Sz\'{e}p product of groups
19. Taming Reidemeister zeta functions on virtually polycyclic groups
20. Fixed point properties and cohomology of Banach representations of arithmetic groups
21. Abstract regular polytopes of $G_2(q)$ in even characteristic
22. Iwasawa theory of class field towers
23. Almost Trivial Units in Group Rings
24. A twelve-term exclusion for the small Davenport constant of $E_2\times C_3^r$
25. Associativity of the $\star$-product of skew braces
26. Counting tangles in coverings of closed 2-orbifolds via ribbon categories
27. The quasi-isometry classes of Galton--Watson trees
28. Automorphism Groups of Three-Dimensional Leibniz Algebras: A Complete Description
29. The theory of nonabelian free groups has no model companion
30. Nonvanishing of cohomology for groups
31. Bi-exact Wreath-like Product Groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-21/

1. Topological isomorphism of procountable groups is universal analytic
2. Conjugator Length in Iterated Cyclic Amalgams of Free Groups
3. Surface subgroups of Baumslag doubles along short words
4. Property (T) for random groups in the density model with $d > \frac{1}{4}$
5. Automorphism groups of Cayley graphs on almost simple groups with normal connection sets
6. A paradoxical route from hyperbolic geometry to proper proximality
7. Finite Quotients of Right-angled Artin Groups
8. On Shalev's Quantitative Version of Thompson's Conjecture
9. Helly complexes are Hellyfications of their boundaries
10. Finite covers of a product of surfaces with bounded rank and arbitrarily large systole

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-18/

1. The free multiplicative Lie algebra $L(P)$ for a finitely generated parafree group $P$
2. Explicit equational bases for the power semirings of $S_7$
3. Finite groups with a unique real $2$-block
4. Categorical forms of the rigid direct-system representation for finite local-unit-aligned totally ordered monoids
5. Canonical resolved-transport decomposition and reconstruction of local-unit-aligned ordered semigroups
6. Kernel--wreath constructions and infinite families of finite simple skew braces
7. Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
8. The variety generated by all additively idempotent semirings of order four
9. The small Davenport constant of $H_{27}\times C_3^r$
10. On a class of combinatorial group invariants

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-17/

1. Localizing the Gardam unit: the support geometry of units in F_2[P] and its non-unique-product relatives
2. Involution and Commutator Length in PU(n,1)
3. Finite groups with large power-avoiding subsets
4. An order automorphism of a Dlab group not induced by conjugation
5. Affine Fixed Points on Flat Manifold Pairs
6. Entropy and Translation Length in the Ray Graph
7. A computational framework for multidimensional loop-cocyclic Hadamard matrices
8. Generating the twist subgroup of the level $2$ mapping class group of a non-orientable closed surface
9. On the number of modular pairs in finite dimensional Lie algebras on finite fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-16/

1. The Mathieu Property for Compact Connected Lie Groups
2. Coprime Actions and Characters Non-vanishing on the Fixed-point Subgroup
3. Matroids and isomorphism problems for Bestvina-Brady groups
4. Kazhdan constants for two-element generating sets of $\mathrm{SL}_n(\mathbb Z)$
5. The Fourth Continuous Bounded Cohomology of the Complex Symplectic Group
6. Unipotence of a double commutator with transvections
7. Palindromic Length in Free Groups: Reflections, Noncrossing Matchings, and Catalan Forms
8. On Cowling's $L^p$-integrability conjecture for Kunze--Stein groups
9. Selflessness, MIF and opposition in groups acting on exotic buildings
10. A classification of finite simply reducible groups of order at most 2000
11. Uncountably many local isomorphism types of compactly generated simple groups
12. Quandles associated with group actions
13. Mathieu groups as flag-transitive automorphism groups of block designs
14. Invariant random subgroups of $C^*$-simple groups
15. Concise tensors with maximal symmetries

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-15/

1. The dual of the Tits cone and dominance of Coxeter groups
2. Conjugator length in nilpotent groups
3. Hierarchical hyperbolicity, ball quotients, and the moduli space of smooth cubic surfaces
4. Finiteness properties of closed subgroups of Thompson's group $F$
5. Essential quotients of the cohomology of products of symmetric and alternating groups
6. Solvable Supplements to Normalizers of Cyclic 2-Subgroups
7. Torsion-freeness problem for matrix groups
8. A counterexample to the determinant approximation conjecture
9. The variety generated by all semirings of order three is nonfinitely based
10. Algebraic and measurable embeddings between square-free right-angled Artin groups
11. On Donkin's Tilting Module Conjecture IV: New Frontiers
12. Duality and Baire like properties in topological abelian groups
13. On Nilpotent and Hypocentral Quandle Homomorphisms
14. Finite identity bases for flat semirings of linear words
15. PHP decompositions and primitivity of group rings for linear groups
16. Integral cohomology of the spherical and affine Artin groups of infinite classical families
17. Quaternionic Reflections and Lie Generation in $G_2$
18. Fusion-stable endosplit $p$-permutation resolutions

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-14/

1. An automorphism tower of length $\kappa^+$
2. Property $(T)$ and nonlinearity of mapping class group quotients
3. On a question of Navarro on the field of values of characters of solvable groups
4. A local approach to a programme of Meierfrankenfeld: initial setting and the symmetric case
5. Synchronizing groups and weakly perfect graphs: a survey
6. Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension
7. The number of distinct element orders in a finite group
8. Algebraic enumeration of local density improvements for Thompson's group $F$
9. Cocenter of Hecke algebras of Kac-Moody groups
10. Projection and fibering in groups of bounded exponent

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-11/

1. Reversibility and its asymptotic counting in Picard group
2. Conjugator length in finitely generated groups
3. Metric Geometry of the Signature Group for $p$-Variation Rough Paths

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-10/

1. On the Hamiltonicity of generating graphs of almost simple groups
2. Involutory automorphisms of finite groups of odd order
3. Kleisli convolution representations and a Margolis--Sakurai version of the modular isomorphism problem
4. The spectrum of conjugator length functions
5. Finite presentations of metabelian groups: effective enumeration via Laurent relations
6. Sharp bounds for intervals in finite subgroup lattices
7. Small undecidable groups and unrecognizable 4-manifolds
8. A note on idempotents in quandle rings
9. A nonfinitely based additively idempotent semiring that is not strongly nonfinitely based and generates a limit variety
10. Amenability of Lie, Group and Hopf algebras

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-09/

1. Commensurability and quasi-isometry classification for one vertex one loop tubular groups
2. Every Reflection Group Is Natural
3. Shirshov's amalgamated free product and generic nilpotent groups
4. Property $P_{\text{naive}}$ for non-orientable big Mapping Class Groups
5. A Characterisation of \(N\)-Free Ordered Groups
6. Group having 13 cyclic subgroups
7. Hierarchical geometry and right-angled Artin groups in graph braid groups
8. Virtually generating graphs of pro-$p$ groups
9. Subgroups of free groups with the same commutator subgroup
10. Element Orders and Character Codegrees of Finite Groups
11. The Left-Nilpotent Residual and Its Supplements in Finite Skew Braces
12. Enumeration of orientably-regular maps with automorphism group $\PGam(2,2^p)$ for prime $p$
13. On Natural Groups
14. Co-intersection graphs of nonabelian finite simple groups have diameter two
15. Length-generating functions for twisted involutions of Coxeter groups
16. Braids on the Stranded Cellular Automata Model
17. On the unitary cohomology of semisimple groups
18. Solvable groups defined by redundant cyclic presentations
19. Finiteness Properties of Fibre Products over Virtually Nilpotent Quotients
20. On the complement of a union of cosets
21. Images of word maps with constants on algebraic groups
22. A counterexample to Petrykowski's conjecture
23. On the sample complexity of the generalized hidden shift problem over arbitrary finite groups
24. A Note on Additive Diameter
25. The entropy of coclass one and of SmallGroup(729,45)
26. KS-Groupoids and KS-Crossed Products associated with Inverse Semigroup Actions
27. A finite set with noncompact closed convex hull in a Hadamard space
28. Representing a ring as the endomorphism ring of an abelian group
29. Representation and Extending structure of a Multiplicative Lie algebra
30. Algorithms for Finite Group Epimorphism Testing
31. Geometric finiteness in paracomplex hyperbolic spaces
32. Residual finiteness and cuspidal cohomology of Picard modular surfaces
33. Replication Descent and $J$-Finality of Replicable Functions
34. General linear and Steinberg groups over the Leavitt algebra $L_{\mathbb F_2}(1,2)$
35. Continuity for random walks in hyperbolic percolation: drift, entropy, and dimension
36. Asymptotically conformal and asymptotically rigid mapping class groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-07/

1. An explicit non-elementary matrix over a bivariate Laurent polynomial ring
2. The Codegree Isomorphism Conjecture for Finite Simple Groups
3. Ordering, Artin--Tits group, Garside structure
4. Medvedev degrees of SFTs on cocompact Fuchsian groups
5. On multiply induced characters
6. On the lengths of MDS codes with a two-transitive permutation automorphism group

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-04/

1. On embeddings of the difference graph of the intersection power graph and the power graph
2. On second maximal subgroups of finite groups
3. On the surjectivity conjectures of Dupont and Monod
4. On the reconstruction of $n$-quasigroups of order $4$ and upper bounds on their number
5. Divergence of decreasing rearranged Fourier series on every infinite compact abelian group
6. Fourier Analysis and Idempotents in Quandle Algebras
7. Additive diameters and covering complexity of irreducible representations
8. Khovanov monodromy groups via motions
9. The groups $\operatorname{SL}_2(\mathbb{F}_{13})$ and $\operatorname{SL}_2(\mathbb{F}_{19})$ are Galois over $\mathbb{Q}$

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-03/

1. Acylindrical Hyperbolicity and Pure Conjugating Automorphisms in Graph Products of Groups
2. On the Self-Similarity of Permutational Wreath Products and Their Embedding into Finitely Presented Simple Groups
3. The Borovik-Cherlin conjecture holds in ACF
4. The binary actions of sporadic groups
5. Automorphisms of Twisted Chevalley Groups of type ${}^2 A_3$ and ${}^2 A_4$ over Local Rings
6. The Multiorbital Bivariate Chromatic Polynomial
7. Baumslag-Solitar Subgroups Obstruct Model Companions for Fields with Group Actions
8. Extremal Asymmetric Depth of Planar Graphs and Hidden Near-Mirror Symmetries of IPR Fullerenes

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-02/

1. Generalized Graph Compositions with Applications to Difference Graphs of Finite Groups
2. Higher Massey Products in Demu\v{s}kin Variations: Support Blocks, One-Relator Reduction, and a Five-Fold Vanishing Case
3. Two problems about subgroups of free groups concerning the lengths of their generators
4. Relative property (T) for uniformly bounded representations
5. Accessible CAT$(-1)$ groups of critical exponent less than one
6. Finite permutation groups that act with fixity 4
7. On commensurating graphs of pro-$\mathcal{C}$ groups
8. Stabilizers in Coxeter groups with a transpositional action
9. Common neighbour conjectures for Saxl graphs fail at every base size
10. Gallagher's Theorem for Real-valued Brauer Characters
11. Properly proximal countable measured groupoids
12. Kazhdan's Property $(T)$ for Subspaces and Quotients of $L_p$-Spaces
13. Depth-1 expanders on the unitary group and applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-09-01/

1. Involutions in the affine Conway group
2. On Some More Problems from the Kourovka Notebook
3. Decidability of the Orbit Problem Over $\mathbb{Q}(X)$
4. Fundamental groups of asymptotic cones of Lie groups with the SOL obstruction
5. Conjugator Lengths and Isoperimetric functions
6. Quasi-isometries between graphs of totally disconnected locally compact groups
7. Commutator identities, Lie product identities, and Multiplicative Lie algebras
8. Brauer character degrees and nilpotent subgroups
9. Finitely generated positive cones in $F_n \times \mathbb{Z}$
10. Boundary Dynamics, Cubical Actions, and Infinite Girth
11. Laws for triangular matrices
12. Corrigendum to "A Characterization of the Unit Group in Z[T x C_2]"
13. Non-MF groups and non-finite full group C*-algebras
14. Finite-Monoid Compression in Syntactic Concept Lattices: Arity Hierarchies and a Pseudovariety Trichotomy
15. Simplicity and pure infiniteness for $\text{C}^*$-algebras associated with stabilizers of boundary actions
16. Regular, and (bi-)rotary Hall Cayley maps
17. Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs
18. Morita equivalent blocks with an endotrivial source that are not globally isotypic
19. Extensions of Hindman's theorem via finite colorings of topological groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-31/

1. Elementary divisors of the Cartan matrix for partial characters
2. Groups satisfying Gasch\"utz's complement theorem
3. Cycle Counting and Character Expectations Using Alternating Structures
4. Solvability of unimodular equations in groups and Lie algebras
5. Maximal subgroups of homeomorphism groups
6. Rota---Baxter operators on extraspecial groups
7. On 2-Sphere Bowditch Boundaries Attaining Conformal Dimension
8. The Twist Conjecture and the Isomorphism Problem for Coxeter groups
9. Compactifications of Abelian Group Bundles and a topological Halmos--von Neumann-type Theorem

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-28/

1. A Determination of $B$-groups of Order $p^4$
2. Classification of Group Extensions
3. The Hurwitz Action in the Affine Symmetric Group
4. Kleisli convolution representations of power monoids
5. A $\sigma$-McKay theorem for $\pi$-separable groups
6. Real ideal points, Conway spheres, and left-orderable Dehn fillings
7. A Centroid Framework for Operator-Valued Haagerup Inequalities
8. Around the Andreadakis-Johnson filtration
9. Mapping class groups have a unique Polish group structure
10. On some aspects of discrete groups acting ergodically on the boundary

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-27/

1. Complete Mappings of Semigroups
2. Word length, Morse theory, and Vietoris-Rips complexes
3. Asymptotic enumeration of minimally transitive permutation groups
4. A note on normal generation and the first $\ell^2$-betti number
5. A condition of admissibility for generalized Alexander quandles
6. Zeta renormalization and pressure at infinity for an infinitely cusped tree lattice
7. The kernel of the Birman-Craggs-Johnson homomorphism
8. Linear isoperimetric filling inequalities in Hadamard spaces at and above the asymptotic rank

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-26/

1. Continuous Mal'cev Qp-Completion of Pro-p Groups
2. Nilpotent groups with Dehn function $n^2 \log n$
3. Contractible Rips complexes of groups via metric gluings
4. Standard bases for shift-stable groups and Subgroup Membership in wreath products
5. Complexity and Polishability of characterized subgroups on the unit circle
6. The Cofree Functor on G-Sets and Its Approximations
7. Relative Biexactness for Relative Hyperbolic Groups and Some Applications
8. Warped cones associated to isometric free actions do not have geometric property (T)
9. Free left $h$-Ehresmann semigroups
10. The Isaacs-Navarro-Wolf conjecture

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-25/

1. The stable commutator length of a relator is not a one-relator group invariant
2. Splittability, non-splittability, and automatic splittability of metacyclic $p$-groups
3. Aspherical $PD_4$-pairs
4. Deflation map and the sum of inverses of the element orders in finite groups
5. The General Subgroup Permanental-Dominance Conjecture in Order Four
6. Polynomial permutation stability, soficity, and universal polynomial groups
7. On injective endomorphisms of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}^4}$ with a four-element family $\mathscr{F}^4$ of inductive non-empty subsets of $\omega$
8. Forcible groups and Frattini covers
9. Dimension quotients as boundary limits: the general case
10. Gorenstein dimensions and Hirsch length of groups
11. Presentations of Lower-Triangular Subgroups of $\operatorname{Aut}(F_n)$
12. On Conjugacy Classes of Derangements in Symmetric and Alternating Groups
13. Borel dimension growth and hyperfiniteness
14. Equations in Products of Free Groups and 3-Manifold Groups II: Olshanskii Epimorphisms
15. Uniform exponent bounds for integral group homology
16. Average Numbers of Homomorphisms to Random Modules over Free Group Algebras
17. A Proof of the Isaacs_Navarro_Wolf Conjecture
18. The Eaton--Moret\'o Conjecture Holds True for \(p\)-Solvable Groups
19. Coset geometries acting on their elements: The $j$-diagonals twisting

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-24/

1. A generalized monoid of infinite words: asymptotic prefix-suffix quotients and algebraic structure
2. Free Burnside groups of large odd exponent have cost 1
3. Sharp Asymptotics for Abelian Covers of Groups with Bounded Noncommutativity
4. A characterization of the reversibility of linear cellular automata
5. A probabilistic approach to the Yang--Baxter equation and skew braces
6. Group-product rigidity and Higman-Thompson reassociation groups
7. Additive Decompositions by Conjugacy Classes in $M_n(\mathbb{F}_q)$
8. Random walks on wreath products and spectral gaps for coloured interchange processes
9. Mori theory and symplectic reduction for polygons and quivers

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-21/

1. Constructing solvable groups whose character degree graphs generalize the bowtie
2. Products of nonconjugate maximal subgroups
3. Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups
4. Internal numerical semigroups
5. Connective constants of Grigorchuk graphs
6. Convex cocompact right-angled Gromov-Thurston polyhedra
7. Orbit equivalence and total weak mixing of free group actions
8. Two results on asphericity

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-20/

1. Characterization of Weak EKR Groups and Intersection Densities with Prescribed Point Stabilizers
2. A note on the reflexibility of regular maps with automorphism group PGL(2,q)
3. On the representation dimension of finite $p$-groups
4. The number of groups of cubefree order
5. On $\textbf{u}$-substitutions for group presentations
6. Products of trees and ${\rm PGL}_2$-torsors over the punctured affine line
7. Growth gaps and generating sets
8. The structure and generation of the second maximal subgroups of the almost simple groups with alternating, classical or sporadic socle
9. Differential Operators on $G(r,n)$-Invariant Functions
10. Actions on CAT(-1) spaces with critical exponent less than 1

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-19/

1. On the independence of permutation characters
2. Hyperbolic models and stability recognition for Coxeter groups
3. Every copy of Thompson's group $F$ in $F$ is undistorted
4. Small Cancellation Stability and Isomorphism Rigidity for Generic Finitely Presented Groups
5. The Wallace problem and countably compact torsion-free Abelian groups in ZFC
6. There are no sharply transitive subsets of $\mathrm{SL}(2,q)$ for $q\ge 13$
7. Total 3-closure for projective special linear groups
8. Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields
9. Non-orientable representation spheres
10. On The Eaton-Moret\'o Conjecture for Principal Blocks of Finite Groups
11. Simplicity of reduced crossed products
12. Nilpotency of locally isotropic $ \mathrm{K}_1 $-functor
13. Affine Dual Braid Monoids: Finite Cores, Exceptional Cluster Complexes, and Koszul Resolutions
14. On the $p$-rationality of Deligne--Lusztig characters
15. The critical exponent of the Falconer functional for Anosov representations

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-18/

1. Hyperfiniteness of boundary actions via tree decompositions
2. Topological perspectives on the vanishing of some Bogomolov multipliers
3. Brauer-Fowler Bounds for Elements of Odd Prime Order
4. The Lower Central Series of Right Lower-Triangular Nielsen Automorphism Groups
5. Lie methods for countably categorical Engel groups: the Wilson conjecture for $4$-Engel $5$-groups
6. On intersections of locally quasiconvex subgroups
7. The finite basis problem for the power semirings of finite groups
8. A nonabelian Brunn-Minkowski inequality II
9. Two Questions on $G$-harmonic Tuples
10. Conjugacy classes with covering number two in hyperbolic orthogonal groups
11. $\mathbb{Z}^2$-free subgroups of Thompson's $T$ are virtually free
12. Groups with a Fixed Character Degree: The General Case
13. A Hirsch length inequality
14. Exponents of factorized groups and Kashina's conjecture for group-theoretical Hopf algebras
15. $F$-congruences on $F$-inverse monoids
16. Non-uniqueness of continuous trace-scaling flows on certain full factors
17. On a conjecture of Hung, Mart\'inez and Navarro
18. Equilateral Completion in Floretion Triangular Coordinates: Locality, Product Points, and Reflection Symmetry
19. Twisted primitive group association schemes
20. A new flag-transitive linear space
21. On the finite group whose proper enhanced power graph is claw-free
22. Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants
23. Ergodic-transformation centralizers and essentially non-compact graphing symmetry
24. A canonical splitting of the first homology group of Peano continua

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-17/

1. A Note on the FC-Center of Thompson's Group $F$
2. Pure braid groups are RFRS
3. Mixed identities for simple locally finite groups
4. The Exact Completion of the Category of Polish Groups
5. Splitting fields and spectral invariants of character degree graphs in solvable groups
6. The inverse Galois problem of iterated Galois groups and their fixed-point proportion

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-14/

1. Generation of finite groups from subgroups of coprime index
2. The fusion-stable tom Dieck homomorphism
3. Components of the Divisibility Graph of Finite Groups of Lie Type in Defining Characteristic $2$
4. Commuting pairs in symplectic Lie algebras over finite fields of characteristic two
5. On minimal involutive generic sets of Extended Special Linear group $ESL_n(\mathbb{F}_p)$
6. Arithmetic invariants for finite simple and related groups
7. Synthetic Buildings for Finite Groups
8. Cyclic Shuffle Groups: Universal Two-Transitivity and Complete Classification
9. On the abstract elementary class of acts with pure embeddings
10. Homogeneous Weights on Semigroup Algebras of Finite Commutative Semigroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-13/

1. A Proof of Gluck's Conjecture
2. Notes on $K^{\infty}
3. Lifting Functors and Relative Schur-Baer Theorems
4. Hyperbolicity and obstructions to PL actions of the circle
5. Nielsen classes in outer automorphism groups of free groups
6. Bruhat decompositions of operator algebras
7. Whirliness beyond amenability
8. Kakeya sets and dimension compression in compact Lie groups
9. On $2$-blocks with quaternion defect groups
10. Word-Length Spectral Triples of $(\mathbb{Z}/2\mathbb{Z})\wr\mathbb{F}_{d}$ Are Not Metric
11. Tame Topological Groups are precompact
12. Quasisymmetric universality, quasi-isometric classification and topological rigidity of Kleinian groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-12/

1. Two new functions related to the sum of element orders of a finite group
2. On a divisibility condition related to the sum of element orders of a finite group
3. Normality of Relative Elementary Tranvection Groups
4. A simple acylindrical recipe for non-split characteristic $2$ sharply $k$-transitive actions and their generalizations
5. Quasirandomness and Uniform Twin-Width
6. Conjugacy languages in free inverse monoids
7. A canonical section method for conjugacy classes of GL_n(O_2)
8. Torsion in asymptotic cones of free groups
9. The Geometry of Pattern Groups
10. Quasi-isometries, contractions, and intersection graphs
11. Bockstein Spectral Sequences and Applications to the Tame Fontaine Mazur Conjecture
12. FormaTheoria: Constructing Large-Scale Lean Theories from Mathematical Literature $-$ Toward the Formalization of the Classification of Finite Simple Groups
13. The $C^*$--ISR Property for $\text{PSL}_n(\mathbb{Z})$

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-11/

1. Presentations of the cactus Thompson group
2. Vanishing of $\ell^2$-Betti numbers for inner amenable groups
3. Normal-Core Compression for Units in Burnside Rings
4. The conjugacy problem in cyclic extensions of one-ended hyperbolic groups
5. Detecting solvability, supersolvability and CLT properties via an invariant based on conjugacy classes of subgroups
6. An observation on factorizations of finite groups
7. Commuting Graph of Unitriangular Group UT(4; p)
8. From algebraic orthogonality to RAAG embedding obstructions in hierarchically hyperbolic groups
9. Relative Property (T), simplices of invariant measures, and existentially closed models
10. Type Annihilation for Classifying Maps of Rack Spaces
11. The Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-10/

1. Cross varieties of aperiodic monoids
2. A Brown Theorem for Dehn functions of graphs of groups
3. A Finite E-Group of Nilpotency Class Three
4. Profinite rigidity in lattices of $\mathrm{PSL}(2,\mathbb{C})$
5. The noncommutative topological factor theorem for rank-one product lattices

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-07/

1. Topological Characterizations of Geometrically Infinite Convergence Group Actions and Orbit Uniform Metrics
2. Centralizers of sofic approximations of Kazhdan groups
3. Inverse ambiguous maps on infinite groups
4. Nonsofic wreath products of residually finite groups
5. Beyond transversality: structure of Clifford circuits for CSS codes
6. Noncrossing Combinatorics, the Full Twist, and Decategorification of Knot Invariants
7. Minimal Cayley graphs with large chromatic number

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-06/

1. Locally Solvable Radicals via Wilson Radical Sets and Subgroup Lattices
2. The geometry of triples of antipodal ideal chambers of affine buildings
3. The word problem for two-generator one-relator inverse monoids
4. On a theorem of Dickson
5. Near-Rings and Skew Braces
6. Zariski density of discrete subgroups via critical exponents and unitary representations
7. Sparse Random Covers and Growth of Torsion in First Homology
8. Bond thickenings of the simplicial boundary of Outer space
9. Gradings by cyclic groups on classical simple Lie algebras in prime characteristics
10. Area Minimization Among Group-Invariant Planar Convex Bodies of Constant Width

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-05/

1. Finite groups that are the product of every pair of non-conjugate maximal subgroups are soluble
2. Higman in balls: the mod-2 dichotomy for integral units of the Promislow group
3. The solution to Kourovka problem 21.88
4. Cyclic-by-abelian counterexamples to the second and third Zassenhaus conjectures
5. A torsion-free group of nilpotency class six with all subgroups subnormal of defect at most $5$
6. Finite direct-product quotients and uniform Kazhdan constants
7. The Dehn function of $V$ is at most sextic
8. The structure of finite groups invariably generated by two elements of prime order
9. Product sets in sets of returns and positivity of symmetric ergodic averages
10. Compact Hyperbolic Coxeter Six-dimensional Polytopes With Ten Facets
11. Amenability of locally compact quantum groups via the long-time behavior of convolution semigroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-04/

1. The one-sided unit count of F_2[P] at radius four, and an integral separation theorem
2. Near optimal spectral gaps for line bundles on hyperbolic three-manifolds
3. A Negative Answer to Question 17.102 in The Kourovka Notebook
4. Alternating Groups and Embeddings into Groups Invariably Generated by Two Prime-Order Elements
5. Uniform expansion in finite groups of Lie type
6. The \c{S}i\c{s} Kebap Theorem: A Generic Identification Theorem for Groups of Finite Morley Rank
7. On context-free subgroups and R. Thompson's group $V$
8. The catenary degree of monoids of product-one sequences
9. Periodic quasiflats in hierarchically hyperbolic spaces
10. The problem of recognition of finite simple groups by element orders is solved
11. Powerful multiplicative groups do not force right nilpotence in finite braces
12. Undecidability of the Diophantine problem for one-relator groups and one-relation monoids
13. A torsion-free non-sofic group
14. A graph-theoretical characterisation of subgroups of Thompson's group $V$
15. Residual profiles and bounded generation in pro-$p$ completions of amalgamated products
16. Word maps and surface relations in symmetric groups
17. Strong conciseness in profinite metabelian groups
18. Automorphisms of Twisted Chevalley Groups of type ${}^2 D_\ell \ (\ell \geq 4)$ over Local Rings
19. Lattice point sumsets and asymptotic approximate groups
20. Non-finitely Presented Lie Algebras of Type $FP_2$
21. Families preserving isomorphisms via techniques in anabelian geometry: with an application to a generalized Neukirch-Uchida theorem
22. A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
23. Idempotents, automorphism groups, and commutator widths of quandle algebras
24. Finite abelian subgroups of algebraic groups
25. Conjugation invariants determine the metacommutation permutation only up to relabelling
26. On a question by G. Navarro on the character field generation of odd-degree characters
27. ICC property(T) groups without W$^*$-superrigidity

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-03/

1. On transversality in flag manifolds and linearity of amalgams
2. Piecewise isometry groups of Euclidean tessellations
3. Finding 59:29 in the Monster
4. The N-Prime Graph Question is equivalent to the Prime Graph Question
5. Fitting's Theorem and Semirings of Normal Subgroups
6. The Basilica group of the Grigorchuk-Erschler group
7. On the number of $g$-dimonoids of small order
8. Normalizers of lattices and isometry groups of arithmetic hyperbolic manifolds
9. Strongly converging unitary representations for extensions by exact groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-31/

1. The Monster group is a completion of the Goldschmidt G3-amalgam
2. Centralizer Excess as an Obstruction to Carlson's Depth Conjecture
3. Polynomial Maps with Constants over Division Algebras and the Generalized Kaplansky--L'vov Conjecture
4. Components in characteristic $p$ and Quillen's conjecture
5. Centralizers and classifying spaces for commutativity of $SL_2(\mathbb{Z}[1/p])$
6. Constructing linear codes from digraphs and groups
7. Mixed-identity-freeness and primitivity of group rings
8. Thompson's Group $V$ and Virtual Link Theory
9. Vertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-30/

1. Stallings foldings for rational subsets of automatic groups
2. Near full groups of bounded type, \rom{2}
3. Automorphism-invariant refinements of weakly branch actions via overlap functions
4. On the Glauberman-Solomon Theorem
5. Vanishing elements of prime power order and their class size property
6. Learning the Word Problem: Geodesic Lengths and Cryptographic Applications
7. Some results on NIP groups and their Ellis groups
8. On essential freeness of actions of mixed identity-free groups
9. A topological interpretation of numbers

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-29/

1. A cube complex for virtual Artin groups
2. Sublinear projection tracking in acylindrically hyperbolic groups
3. Growth gaps and exponential genericity in acylindrically hyperbolic groups
4. Near full groups of bounded type, \rom{1}
5. Ends of Uncountable Locally Finite Groups: An Analytic and Coarse Geometric Approach
6. Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-Scientist
7. Quiver data of representations of Hecke algebras and Coxeter groups
8. Raikov Remainders of Quotients by Raikov-Complete Almost Metrizable Normal Subgroups
9. Random Trees in Hyperbolic FPP
10. Combinatorial structures connecting Latin squares and bireversible automata

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-28/

1. A Counterexample to Byott's Conjecture for Finite Skew Braces
2. A note on simple actions of small monoids
3. Automorphisms of Bestvina-Brady Groups: IA Rigidity, Arithmetic Commensurability, and Finiteness
4. An infinite family of counterexamples to the Polycirculant Conjecture
5. Machine-checkable equivalence certificates at the length-14 Andrews-Curtis frontier
6. Sequence distortion for metric spaces
7. An Exact Counterexample to Carlson's Associated-Prime Depth Conjecture from a Group of Order 128
8. Free-by-cyclic groups are not relatively profinitely rigid
9. Pro-$\mathcal{C}$ groups acting on profinite trees
10. Brauer Relations for Symmetric Groups: Young--Wreath Quotients and the n-Cycle Mark Obstruction
11. The Diophantine problem in the Baumslag-Gersten group
12. A Deligne complex for virtual Artin groups
13. The $K(\pi, 1)$ conjecture for Artin groups of spherical type
14. Fusion Systems on Sylow $3$-subgroups of Fischer and Monster sporadic groups -- II
15. On the Frobenius Number of Quotients of Numerical Semigroups
16. On the automorphisms of numerical power monoids
17. Multivariate growth series of graph products of groups
18. Continuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbers
19. Namikawa--Weyl groups of symplectic quotient singularities
20. Residual coherentization of balanced residuated partially ordered semigroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-27/

1. A phase transition in the directional growth of lamplighter groups
2. Finiteness properties and Higman's rope trick
3. Generating simple vigorous groups
4. Automorphisms of Twisted Chevalley Groups of type ${}^2 A_\ell \ (\ell \geq 5)$ over Local Rings
5. Isomorphisms and automorphisms of graph products of groups
6. Clique complexes of groups and order sheaves
7. Quotients of mosaics and related hyperstructures
8. Distortion in the group of locally monotone homeomorphisms of a Cantor set and in the group of generalized interval exchange transformations
9. A random matrix approach to lamplighter groups
10. Local $C^0$-semi-rigidity of meandering-hyperbolic actions
11. Non-existence of Cannon-Thurston maps for hierarchically hyperbolic groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-24/

1. An answer regarding factorizations of finite groups
2. Braid groups are not profinitely rigid
3. The exponents of $p$-groups of maximal class and their Schur multipliers
4. Computations of $\tilde{A}_2$ Bruhat intervals via shadows
5. Surjectivity of Engel Maps over trace zero matrices in $\mathrm{M}_2(\mathcal{O})$
6. Critical-exponent stratification and inverse realization on biregular trees
7. Commutator relators of one-relator groups do not force Hopficity, residual finiteness, or automaticity
8. Compressed primitivity problem in free groups
9. Interval Garside groups arising from involutions in finite reflection groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-23/

1. On a function related to the Chermak-Delgado measure of a finite group
2. The quantitative non-unique-product landscape at the global minimum: the Nielsen-Soelberg groups
3. Strong non-arithmeticity for Zariski dense subsemigroups
4. Ideals and Solvability in Skew Braces
5. On the finite subgroups of the 2-dimensional general linear groups
6. Polynomial Hilbert-Schmidt stability of the lamplighter group
7. Finite-index Problems in Skew Braces
8. A Product-Neighbourhood Criterion for Fixed Price One
9. A Paper on Calculating the Height and Relational Complexity of the Primitive Actions of $ PSL_{2} (q) $ and $ PGL_{2} (q) $
10. Conjugator length in finitely presented groups
11. Trace-norm rigidity for reduced products of unitary groups and matrix algebras
12. Local limit theorem for the operator norm of products of random matrices

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-22/

1. Least sizes of non-unique-product sets: the Promislow group and a Heisenberg-type candidate
2. Finite quotients of full surface braid groups and complex surfaces of general type: cyclic, dihedral, and extra-special quotients
3. The isomorphism problem for random generalized Baumslag-Solitar groups with many edges
4. Prime and N-Prime graphs of solvable uniformly semi-rational groups
5. Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)
6. Howson property and finitely generated intersection problem for monogenic inverse semigroups
7. Hopficity of profinite completions of abelian groups
8. Relative free splitting and free factor complexes: An overview
9. A cohomological translation of the Kaplansky radical for profinite groups
10. Geometries admitting trialities for the symmetric and alternating groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-21/

1. Solid Duality for Profinite Groups
2. The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups
3. Simple Skew Braces with Cyclic Sylow Subgroups
4. Black Box Recognition of the Suzuki groups
5. Small growth rates of free groups
6. On Some Problems from the Kourovka Notebook
7. Spinal Hanoi Towers Groups
8. On dimonoids of small order
9. Virtual Surjection and the $n$-$(n+1)$-$(n+2)$ Theorem for Discrete Groups
10. Coarsely Proper Actions of Topological Groups
11. Fricke's trace identity and spin groups
12. On a super-Virasoro group, a semigroup of annuli, and Gauss--Berezin integral operators
13. The group $\mathrm{TK}_1$ of graded and valued division algebras
14. Coincident Poisson structures on principal-bundle moduli spaces
15. $\mathbb{Z}^2$ is flexibly stable in the operator norm
16. From local giants to locality in long-range percolation
17. Kaluzhnin--Krasner embedding of precrossed modules

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-20/

1. Improved Almost laws for $SO(3)$
2. Bidihedral skew braces
3. Profinite rigidity of simple closed curves in surface groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-17/

1. The braid group Bn is not a quotient of a quasi-Coxeter interval group of type Dn
2. Exceptional groups and the s-arc-transitivity of vertex-primitive digraphs, II
3. Ascending chains of irreducible lattices, bi-reversible automata and affine arithmetic groups
4. Kernel method for M\"obius transformations and hyperbolic representations of groups
5. Hall complement numbers
6. On the Classification of Stein spaces with Bergman-Einstein metrics
7. Stability for boundary actions of cocompact lattices in Euclidean buildings
8. Several families of incommensurable noncompact hyperbolic Coxeter polytopes

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-16/

1. Braid groups and Burnside groups
2. On Zappa--Sz\'ep products of a wreathed $2$-group and a cyclic group
3. Cyclic Probability of a Finite Group
4. Regularity of Manhattan manifolds and exact dimensionality for relatively Anosov groups
5. Commensurating actions and self-similar groups
6. The Post Correspondence Problem for free groups is undecidable
7. Groups with Finitely Many Shortlex Cones
8. A Finite Skew Brace with Perfect Additive Group and Almost Simple Multiplicative Group
9. Involutions of (twisted) diagram monoids
10. Filling 1-cycles, 2-cycle complexity, and torsion growth
11. Strict concavity of the growth indicator function for relatively Anosov groups
12. CAS I: A Geometric Coding Theorem

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-15/

1. The Conjugacy Problem in Wreath Products
2. Learning the Graphical Nature of Symmetries
3. Noncommutative Floquet--Bloch Theory for Nilpotent Groups:\ Representation-Theoretic Foundations
4. Characterized subgroups on the unit circle
5. Characterizations of quotient spaces for Lindel\"of strongly topological gyrogroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-14/

1. Indecomposable solutions with permutation brace of size $p^3$ and permutation braces of small sizes
2. A note on left semibraces
3. Corrigendum to "Transitive permutation groups with trivial four point stabilizers"
4. Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$
5. Group action-stabilizer graph of group actions of a group on a set
6. Local-to-global fixed point properties for graphical C(4)-T(4) and C(6) small cancellation complexes
7. Pure-homogeneous Abelian groups
8. Fixed-point-free elements in two-orbit permutation groups
9. Engel probability in wreath products of $p$-groups
10. A Torsion-free Supersoluble Group with Trivial Outer Automorphism Group
11. Block-exoticity of reduction simple fusion systems on $S(n,p)$
12. Which Wallpaper Groups Arise from Tiled Games?
13. Minimum distance and decoding of Coxeter codes
14. Learning Subgroup Relations Using Siamese Graph Neural Networks

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-13/

1. Some additive properties of $\mathbb{Z}_n$ and $k$-index stability of finite groups
2. Finitely presented kernels of right-angled Artin groups with abelian quotients
3. Finite gropus whose proper subgroups of order divisible by $p$ are supersolvable
4. Singularity of Cannon-Thurston maps

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-10/

1. Supersoluble groups and the probability of generating a supersoluble subgroup
2. Waring Problem for matrices over finite local rings
3. On cube and Cremona rigidity for higher-rank lattices
4. Coarse embeddings of products of trees as quasi-isometry invariants
5. A note on the shortest law for the symmetric group
6. Proof of Rump's Retraction Conjecture for Quasilinear Cycle Sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-09/

1. On rank two Kleinian groups with three parabolics
2. Finite complete rewriting systems for graphs of free groups with applications to free-by-cyclic, one-relator, and three-manifold groups
3. Triangulating the Permutahedron
4. On 4-dimensional convex projective domains invariant by a lattice of $\mathrm{SL}_2 (\mathbb{R})$
5. Geometry and topology of the tempered Iwahori-spherical representations of a split semisimple $p$-adic group

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-08/

1. The lattice of normal reflection subgroups of an irreducible reflection group
2. Game Conductors of Finite Groups: Determinantal Torsion from Structured Payoff Probes
3. A note on finite groups with few conjugacy classes of subgroups
4. Accessibility and Twin-width
5. On two questions from the Kourovka Notebook concerning maximal subgroups
6. Rigidity of maps between configuration spaces
7. Topological Dynamics of Pullback Maps on Full Shifts

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-07/

1. On algebraic and arithmetic properties of monoids of product-$K$ sequences
2. The Baer Transform for Skew Braces
3. On the regularity of irreducible subgroups of finite classical groups
4. Hayashi property for conjugation quandles over finite Coxeter groups
5. Higman--Thompson groups $F_n$ all the way down
6. Finite generating sets for monoids of $G$-equivariant functions
7. Regularity of profinite isomorphisms of hyperbolic 3-manifolds
8. Groups Generated by Root Unipotents: Higher-rank and rank-one
9. Finite groups with quadratic splitting fields for all Cayley graphs
10. Disproof of the tree product conjecture via the Heisenberg group
11. Spherical subgroups in reductive algebraic groups
12. How (not) to prove (un)distortion for diffeomorphisms of one-manifolds
13. Topological full groups and stable rank one
14. $2$-designs admitting a flag-transitive automorphism group with socle $PSL(2,q)$
15. Toric decomposition in algebraic groups
16. Random free semigroups of affine groups
17. The Burau representation of the braid group is faithful for n = 4

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-03/

1. Homomorphisms from topological groups to inverse limits
2. Degrees of $p$-rational characters and normality of Sylow $p$-subgroups
3. Growth rates, stable subgroups, and regular languages
4. Exponential growth rates of even Coxeter groups
5. On the total character of a finite group
6. From Finite Cayley Graphs to Growth of Infinite Groups
7. On the growth spectrum of hyperbolic groups
8. Right-angled Artin groups of large girth and finite volume hyperbolic $3$--manifold groups
9. A global girth obstruction for Garg--Mineyev taiko product structures
10. Fundamental racks of braid spaces of complex reflection groups
11. Torsion in the homology of the Torelli group and the Birman-Craggs-Johnson homomorphism
12. An algorithmic approach for computing fundamental domains of crystallographic groups
13. Part bounds for the Sylow permutation characters of $S_n$
14. On invariant subalgebras of noncommutative Poisson boundaries for higher rank lattices

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-02/

1. Parabolic subgroups of Dyer groups
2. The classification of Bidihedral Groups
3. Directional expansion in ergodic actions of countable groups
4. Obstructions to coarse universality for finitely generated groups
5. $A_3$-formality for pro-2 Demushkin groups
6. Coarse geometry of homeomorphism groups: Classifying countable Stone spaces
7. The topology of Schottky spaces in higher dimensions
8. Actions of lattices in $S$-arithmetic groups on manifolds
9. Quandle homology and relative group homology

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-01/

1. Generic dense free subgroups of the isometry group of the Urysohn space are NSS
2. Classification of Fuchsian groups with torsion
3. Thurston norm, polytopes and splitting complexity
4. Group Theoretic Constructions of Singular Set in a Long Range Segregation Model
5. Some closed manifolds that do not fibre over the circle
6. Image of Regular Unipotent under a Representation of $\mathrm{GL}_3(\mathbb{C})$

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-30/

1. On the Dominions of Certain Semigroups of Transformations
2. Note on the number of doppelsemigroups of small order
3. A structure theorem for centralizers of dilations in $QI(\mathbb{R}_{+})$
4. The Gruenberg-Kegel graph of finite solvable groups that are character-quadratic or semi-rational
5. Digroups, their canonical pretorsion theory, and diheaps
6. A Schur--Zassenhaus Theorem for Finite Skew Braces
7. Strongly Primitive Salem Growth Polynomials for Right-Angled Coxeter Groups
8. Groups associated to 1-minimal models for binomial $\cup_1$-algebras
9. The Fundamental group of a finite graph of conjugacy separable groups with finite edge groups is conjugacy separable
10. Classification of skew left braces with additive group isomorphic to the infinite dihedral group
11. Characterization of the alternating and symmetric groups by the order and conjugacy class sizes
12. A Reversibility Characterization of Locally Finite Groups by Cellular Automata
13. On homological finiteness properties and free inverse monoids
14. The Schur--Zassenhaus Theorem for finite skew braces
15. Cohomology rings and $p$-local behavior of even Artin groups
16. A note on strong affine semigroups
17. Structure of Cayley Codes
18. Strong Embeddings of Regular Graphs with Prescribed Automorphism Groups
19. Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-29/

1. The Baumslag-Gersten group and a problem of Olshanskii
2. Generalising a Theorem of Lichtman
3. Shadowing and Hyperbolicity for Endomorphisms of Locally Compact Groups
4. Diagram groups and groups of piecewise linear homeomorphisms of the line with global fixed points
5. The number of composite class sizes in finite groups
6. On the Howe--Moore property for automorphism groups of buildings
7. The Scale of ($P$)-closed Groups Acting On Trees
8. Sectionally indecomposable groups
9. Chain conditions on skew braces and solutions of the Yang-Baxter Equation
10. Chromatic Euler characteristics and duality for infinite groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-26/

1. Analogues of Gr\"un's lemma and Baer's theorem for skew left braces
2. An infinite family of counterexamples to a question of Camina
3. Free Skew Braces and Free Solutions of the Yang--Baxter Equation
4. On prime divisors of character degrees and codegrees
5. Average Distortion of Commensurators of Hyperbolic Groups
6. On $R$-sequenceability of odd ordered groups
7. Classifying the Groups of Order $p^3$ in Lean
8. A General Framework for Learning Algebraic Properties from Cayley Graphs using Graph Neural Networks
9. Classification of regular Cayley maps of skew-type three on semidihedral groups
10. Groups of type $\mathrm{E}_8$ over rings via TKK-algebras and their extremal elements
11. Distinguishing Gromov-Thurston manifolds using algebraic Dehn fillings
12. Selflessness for twisted group C*-algebras of amenable groups and their inclusions

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-25/

1. On finite trifactorised groups and Sylow and Hall theorems for skew braces
2. Sylow theory and the nilpotency class of left nilpotent skew braces
3. Polynomial homological Dehn functions from non-proper actions
4. Computing canonical labellings of finite solvable groups
5. Actions with a strong fundamental domain and Sigma invariants of groups
6. Automorphisms of the Artin group of type $D_5$
7. Conjugacy Distinguished Cosets in Hyperbolic $3$-Manifold Groups
8. The representation theory of the wreath product of a finite group with the monoid of all partial functions on a finite set as an EI-category algebra

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-24/

1. Characterizing property (NL) in {C}oxeter groups
2. New variations on the theme of Baer's theorem
3. Commuting graph of non-abelian groups of order $p^n$ with center having $p^{n-2}$ elements
4. The endomorphism tower of a finite symmetric group
5. On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group
6. Representing alternating groups as self-dual string C-groups of high rank
7. The number of Sylow subgroups and a generalization of Mersenne primes
8. All mixed identities are singular in groups with no algebraicity
9. Representations of finite skew braces
10. N-ary groups of panmagic permutations from the Post coset theorem
11. The one-point Schreier Poisson boundary of Thompson's group $F$
12. Totally Disconnected Semigroup Compactifications: Non-Introversion of the Full Boolean Algebra of Clopen Sets

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-23/

1. On the Weak Right Order of a Right-Angled Coxeter System
2. The word problem for a family of one relation Adian inverse semigroups
3. Class numbers and nilpotent subgroups of $\mathrm{PGL}(2,q)$
4. Bounded elementary generation of SL_2: nearly the end
5. On Codes in (Generalized) Symmetric Groups
6. On {2,3,5}-groups with conjugacy classes of distinct sizes
7. Action principality as a Lie-group certificate
8. Isoclinic groups and conjugacy quandles
9. On Connectivity of Comaximal Subgroup Graph
10. Affine Rota-Baxter groups and affine skew braces
11. Bicyclic biskew braces
12. Cost of one-relator groups
13. Virtual Surjection and the $n$-$(n+1)$-$(n+2)$ Theorem for Profinite Groups
14. Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups
15. Short Second Proof of the Odd-Modulus Directed Torus Hamilton Decomposition Theorem
16. The Two-Hump Problem: Bridging the Difficulty Gap in Mathematical Reinforcement Learning
17. Panmagic permutations and N-ary groups
18. A Closed Image Characterization of Locally Finite Groups via Linear Cellular Automata
19. On the automorphism group of direct product of digraphs
20. Nonarchimedean groups and the axiom of choice

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-19/

1. Outer automorphism groups and the Atiyah Conjecture
2. A Riesz-Thorin Approach to the Rapid Decay Property for Free Groups
3. Linking conjugacy classes and minimal invariant characters of normal subgroups
4. Lacunary hyperbolic groups with fast injectivity radius growth and enough loxodromic elements are selfless
5. A global shadow lemma for relatively Morse groups in higher rank

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-18/

1. Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces
2. Surjectivity of Engel Words on $\mathrm{SL}_2(\mathcal{O})$ and $\mathrm{PSL}_2(\mathcal{O}_2)$
3. Existential Inclusions of Bi-exact Groups are Conjugacy Representation Rigid

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-17/

1. Finite-Orbit Actions and Exact Reconstruction
2. $L_1$ Actions and Embeddings of Property A Spaces
3. Proportion of Simple Subgroups in Finite Groups and Their Applications
4. On the number of orthomorphisms of the alternating group on four symbols
5. Products of nonprimary cyclic conjugacy classes in the general linear group
6. Quasimorphisms and Poincar\'e duality in dimension 3
7. Branched Covers of Hyperbolic Groups
8. Deformation Theory of Monoid Schemes I
9. A coarse Menger theorem for hyperbolic graphs, finitely presented groups, and more

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-16/

1. Ring-induced localizations of nilpotent groups
2. An acylindrically hyperbolic group of non-uniform exponential growth
3. Quantum uniformity norms are pullbacks of matrix-valued uniformity norms
4. Quasimorphisms and Pseudo-Anosov flows
5. Atoms in the Semigroup of Non-Negative Integer Matrices
6. The Standard Model Gauge Group from the Exceptional Jordan Algebra
7. Conjugacy Class Averages and Sidorenko's Conjecture
8. Super-Arrhenius relaxation of the triangular plaquette model in any dimension
9. Footnote to a theorem of Phagan on actions of a cyclic group

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-15/

1. Free product of bi-orderable group is bi-orderable: A simple dynamical proof
2. Residually Solvable One-Relator Groups
3. Virtual inheritance properties of graph products
4. Three subgroup common transversal in abelian groups
5. On degrees of minimal invariant characters
6. The least non-partitionable zero-sum subset for zero-sum triples in finite abelian groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-12/

1. A virtual RAAG with no finite index normal RAAG
2. Root Systems, Tits Cones and Imaginary Cones of Brink-Howlett Groupoids
3. The dual Artin isomorphism for Artin groups of XXL type
4. On the class-breadth conjecture for $p>2$ -groups
5. On a family of non-coset 2-valued groups
6. Growth of Approximate Groups in Hyperbolic Groups
7. Root Clusters and Multiclusters over Imperfect Hilbertian Fields
8. Computing Joins in the Weak Order of Type B Coxeter Groups: an Algorithmic Approach
9. Generalised Prisms and Euclidean Ramsey Theory
10. Finite generation, algebraicity, and representation stability for homology of Torelli groups
11. Cellular waists of hyperbolic spaces

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-11/

1. Generating $\psl{2}{q}$ by elements of prime orders $2$ and $p$
2. Substitution groups of formal power series
3. A dynamical proof of non-arithmeticity of Jordan spectra
4. Relative biexactness and mixing in von Neumann algebras
5. Non-symplectic Indices of Automorphism Groups of Smooth Cubic Fourfolds
6. Matrix Discrepancy for Representations of Finite Groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-10/

1. Generalized torsion in triangular matrix groups
2. Generalizing Lusztig's total positivity II : geometric properties

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-09/

1. Non-abelian hypercohomology of a group with coefficients in a crossed module, and Galois cohomology
2. Linear Bounds for Cohomology of Algebraic Groups
3. On varieties where $\mathrm{CS}\mathfrak{X}$ implies $\mathfrak{X}\mathrm{T}$
4. Automatic actions I. Bounded automata and orbits
5. On the normal subgroups of a split extension
6. Right groups, left quasigroups, and right heaps
7. On the Quartic-free A-groups
8. On profinite rigidity, Grothendieck pairs, and the second homology of some $3$-orbifold groups
9. Graph Neural Networks for Predicting Solvability of Finite Groups
10. Equivariant compactifications, trivial embeddability and finite type
11. Weak split extensions of topological Abelian groups
12. Tracks on planar complexes and soficity

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-08/

1. Two-Generator Discrete Subgroups of Tree Automorphisms
2. Fixing size and Fitting height
3. Spectral properties of the Schreier graphs of the basilica group
4. The Sidon Decomposition Problem in Abelian Groups of Bounded Torsion
5. Geometric Factorization of Sufficient Harmonic Representations

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-05/

1. On prime character degree graphs occurring within a family of graphs (iii)
2. Cohomology of Trivial Linear Cycle Sets
3. Another ambitable group
4. Forbidden relations in universal virtual braid groups
5. The stable Andrews-Curtis conjecture and thickenable presentations of the trivial group
6. Convergence of cataclysm deformations on Anosov representations and applications

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-04/

1. Finite groups and rings generating varieties with rapid growth
2. Products of involutons in symplectic groups II
3. Polynomial maps on the monoid of words
4. Improved algebraic fibrations of high-dimensional hyperbolic groups
5. The subnormaliser conjecture and unipotent characters
6. Local-global conjugacy questions for affine extensions
7. The No-Core Principle for Stationary Actions and Ends of Stationary Random Subgroups
8. Quasi-isometric rigidity for random subsets in products of trees

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-03/

1. Subgroup bounds for abelian $p$-groups with applications
2. Fractal anti-tori
3. Half of finite abelian groups are unit groups
4. Cayley graphs of quasirandom groups
5. Primitive Positive Constructions Among Finite Permutation Groups
6. On a conjecture concerning totally extremal ideal Perron similarities
7. Canonical reconstruction and forcing absoluteness of standard structures
8. On the BNSR invariants of link groups
9. Logarithmic regularity of spectral measures on infinite graphs

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-02/

1. Equations in Products of Free Groups and 3-Manifold Groups, I
2. Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$
3. On the generation problem in Thompson's groups $F_n$
4. On Dehn functions for infinite group presentations
5. Growth of coamenable normal subgroups in higher rank
6. Power Semigroups and Two Rigidity Theorems for Groups
7. On prime endomorphisms of the free group of rank two
8. Coarse median property of virtually nilpotent groups
9. Conjugacy Problem for Dehn Twists of Free Products of Free Abelian Groups
10. Tame Galois Groups, Linking Numbers and Mildness
11. Variants of Coxeter quandles associated with Pin groups
12. On rational representations and rational group algebra of $\operatorname{GL}_2(q)$

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-06-01/

1. Non-degeneracy of Killing forms on real conjugacy classes of finite groups
2. Undecidable Diophantine problems in generalisations of one-relator groups
3. Thue-Morse sequence and groups of intermediate growth
4. Finitely generated Howson groups which are not strongly Howson
5. Horocyclic products have Y-posets of hyperbolic structures
6. Multi-welded twin groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-29/

1. Generalisable presentations and compactness properties of locally compact right-angled Artin groups
2. Metric properties of domains in real-type Nagano spaces
3. Visualizing conjugation in affine Coxeter groups
4. CAT(0) property and hyperbolicity of affine cactus groups
5. On Strongly Hopfian Mixed Abelian Groups
6. Weak rank rigidity for groups with a navigable path system
7. Residual properties of finitely generated groups in the Weihrauch lattice
8. A finitely presented group of non-uniform exponential growth
9. Weierstrass semigroups at totally ramified places of degree one on linearized function fields

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-28/

1. Random endomorphisms of spherical reflection groups
2. Surjectivity of certain word maps on SU(2) and SL(2,C)
3. Polycyclic groups and profinite isomorphism
4. Groups with special presentations and star-graph $K_{3,3}$
5. Noncommutative infinitary semigroups
6. One-sided inverses in noncommutative infinitary semigroups
7. The $k$-out-of-$n$ picture-hanging puzzle: shorter solutions for small $k$ and $n-k$
8. Nuclear Dimension of Twisted $C^*$-Algebras of Virtually Abelian Groups
9. Galois Theory for Subshifts of Finite Type and Representations of Automorphism Groups
10. Ordinal semigroups
11. Twisted homology jump loci, twisted Alexander polynomials, and $\Sigma$-invariants

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-27/

1. On partial groups of small order
2. Polynomial-time isomorphism test for groups with abelian Sylow subgroups
3. Polish topologies on endomorphism monoids of linear orders
4. Two Arc-Disjoint Hamiltonian Paths in Finite Two-Generated Abelian Cayley Digraphs
5. On the Automorphism Groups of Berman Codes and associated Abelian Codes

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-26/

1. On Zappa-Sz\'ep products of two semidihedral groups
2. Realizing Non-Archimedean Polish Groups as Outer Automorphism Groups
3. Codegrees of Irreducible Characters of VZ and Camina $p$-Groups
4. Impartial games on two finite Groups
5. SL(3,Z) is not Howson
6. On quantitative aspects of trace polynomials
7. Right groups and the set-theoretic Yang-Baxter equation
8. Certifying Arithmeticity for Two Degree-Six Symplectic Hypergeometric Monodromy Groups
9. On the complexity of extensions of non-archimedean Polish groups admitting a compatible complete left-invariant metric
10. Non-property (t) for SO(n,1)
11. Commutators of pure twin groups and rondles
12. Cofinal types of topological groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-25/

1. Finite groups with high commuting probability for Sylow subgroups
2. Symplectic lattice counting and zeta functions of higher Heisenberg groups
3. Algorithms for experimenting with Zariski dense matrix groups over number fields
4. The geometrisation problem for topological groups
5. Coarse Structures on Homogeneous Spaces
6. Outer automorphism groups of hyperbolic groups, bounded extensions, and hierarchical hyperbolicity
7. Real 2-blocks in quasi-simple groups
8. Complex Representations of Groups and Involutions of its Automorphisms
9. The separability embedding of $\sigma$-compact strongly topological gyrogroups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-22/

1. Virtual specialness of the double
2. Symmetry and Rigidity of Star-Shaped Coxeter Systems
3. Aldous-type Spectral Gaps in Generalized Symmetric Groups
4. Twisted Frobenius-Schur Indicators and Character Degree Sums in Dihedral Groups
5. On finite perfect two-sided skew braces
6. Inner post-Lie algebras and inner post-groups
7. Stabilizer Subgroups and the Simplicity of Reduced Crossed Products
8. Arboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical Points
9. Subnormalizers and character correspondences in $p$-solvable groups

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-21/

1. An $\ell^2$ Obstruction for Elementary Embeddings of Hyperbolic Groups
2. Polynomial hyperbolicity and products of free groups
3. Action graphs, semiconjugacy, and non-embedding in Thompson's group $V$
4. On dense free subgroups of Lie groups -- revisited
5. Generalized quaternion NCI-groups, NNN-groups and NNND-groups
6. On $m$-partite oriented semiregular representations of finite groups
7. String C-groups of 2-power order project onto a common string C-group
8. On the traces of the product of 2 linear similarity classes
9. Self-simulability of right-angled Artin groups
10. Finite factorization is detected by undermonoids
11. A compensation theorem for the Sylow-integral invariant and counterexamples to an \texorpdfstring{$A_5$}{A5}-characterization conjecture
12. Termination of the Lattice-Automorphism Tower for Direct Products of Symmetric Groups
13. Ramification Subgroups of Knot Groups and their Profinite and Cohomological Structure
14. $p$-Adic Asymptotic Subalgebra Enumeration
15. Rational Weyl group elements of odd type D

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-20/

1. Aperiodic Flows on Finite Semigroups II: Smallish Monoids Suffice for Complexity 1
2. Symmetric 2-cocycles with values in $\mathbb{C}^\times$
3. Coarse geometry of stable mixed commutator length I: duality and functional analysis on chains
4. Images of Lie Polynomials on simple Lie algebras
5. Central idempotents in group-graded rings
6. Cyclotomic finite-field Fourier spectra: Galois descent, native subfields, and residual coding

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-19/

1. Simple groups with narrow prime spectrum: Extended list
2. A nonabelian twist on differences of bijections
3. Statistically characterized subgroups related to arithmetic-type sequence of integers
4. Higher Commutativity in Finite Groups, Rigidity, Extremal bounds, and Heisenberg-Type Families
5. Geometric properties of the golden ration Thompson's group
6. Automorphisms of the moduli space of smooth cubic surfaces and its fundamental group
7. On ultraproduct approximations and property (T) factors
8. Are cluster automorphism groups finitely generated?
9. Maximally almost periodic subgroups of Abelian groups of prime exponent
10. The (n-2,2)-Spectrum of a Graph
11. Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fields
12. The base size of vertex-transitive cubic graphs
13. Classification of abelian Schur groups II
14. Coamenability and strong ergodicity
15. The Classification of the 2-generated Primitive Axial Algebras of Monster Type

番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-05-18/

1. A nonfinitely based additively idempotent semiring of order four
2. Greedy bases and relational complexity of diagonal type groups