プレプリどんどん: math.GR

arXiv math.GRの新着論文21本をご紹介します。

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

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/2026-10-05/

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

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/2026-10-02/

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

arXiv math.GRの新着論文16本をご紹介します。

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

arXiv math.GRの新着論文17本をご紹介します。

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

arXiv math.GRの新着論文26本をご紹介します。

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

arXiv math.GRの新着論文7本をご紹介します。

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

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/2026-09-25/

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

arXiv math.GRの新着論文17本をご紹介します。

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

arXiv math.GRの新着論文29本をご紹介します。

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