プレプリどんどん: math.GR

arXiv math.GRの新着論文5本をご紹介します。

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

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/2026-08-07/

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

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/2026-08-06/

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

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/2026-08-05/

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

arXiv math.GRの新着論文27本をご紹介します。

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

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/2026-08-03/

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

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/2026-07-31/

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 $\operatorname{PGL}_d$

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/2026-07-30/

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

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/2026-07-29/

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

arXiv math.GRの新着論文20本をご紹介します。

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