双曲群とソフィック性と1関係群 - 2026/10/20の論文22本

arXiv math.GRの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-20/ The prime graph complements of $\mathcal{A}_{11}$- and $\mathcal{A}_{13}$-solvable groups The Siemons--Wagner property and Bradley's conjecture An example of a non-sofic hyperbolic group An explicit section of the Laudenbach-type exact sequence of the big mapping class group of $M_\Gamma$ On the strong domination relation of order sequences for some group extensions The locally quaternion group is a countable $B$-group Lambda number of the reduced power graph of finite groups A characterization of finite modular 2-groups via magnitude homology On the isoperimetric profile in infinite dimensional pro-Lie groups Model Theory and Algorithms for One-Relator Groups Thompson's groups are sofic On quandles with isomorphic enveloping groups On Huppert's $\rho$-$\sigma$ conjecture for primes in the orders of elements Linear Group Actions with Exactly One Regular Orbit Property RD and boundary representations]{Property RD for $\widetilde A_2$ groups\\and boundary representations On the kissing number of hyperbolic surfaces with a small systole An Atiyah-Segal homomorphism for approximate representations of infinite groups, and almost multiplicative ucp maps Weighted Power Means on Upper Triangular Matrix Groups Bounded orbits on homogeneous spaces and bounded geodesics on locally symmetric spaces A Non-linearizable Action of $S_3$ on Free Metabelian Lie and Associative Algebras Adelic Asphericity and One-Relator Pro-$p$ Groups The moduli space of quasimorphisms on subshifts and its pressure geometry