プレプリどんどん: math.GR

arXiv math.GRの新着論文9本をご紹介します。

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

arXiv math.GRの新着論文8本をご紹介します。

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

arXiv math.GRの新着論文10本をご紹介します。

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

arXiv math.GRの新着論文15本をご紹介します。

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

arXiv math.GRの新着論文24本をご紹介します。

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

arXiv math.GRの新着論文6本をご紹介します。

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

arXiv math.GRの新着論文10本をご紹介します。

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

arXiv math.GRの新着論文12本をご紹介します。

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

arXiv math.GRの新着論文13本をご紹介します。

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 $\text{PSL}_n(\mathbb{Z})$

arXiv math.GRの新着論文11本をご紹介します。

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 $\mathbb{Q}$