プレプリどんどん: math.GR

arXiv math.GRの新着論文31本をご紹介します。

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

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/2026-09-21/

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

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/2026-09-18/

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

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/2026-09-17/

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

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/2026-09-16/

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

arXiv math.GRの新着論文18本をご紹介します。

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

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/2026-09-14/

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

arXiv math.GRの新着論文3本をご紹介します。

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

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/2026-09-10/

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

arXiv math.GRの新着論文36本をご紹介します。

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