Brin--Thompson群とHypertopesの対称性 - 2026/10/8の論文13本

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/2026-10-08/ Infinitely many Nielsen classes in mapping class groups and free-group automorphism groups A continuum of coarse medians for all mapping class groups and right-angled groups Abelian composition factors of finite rational groups Higher Brin--Thompson groups are Kazhdan $\ell^2$-Betti numbers and $\Sigma$-invariants of graph products of cyclic groups and their automorphisms Hypertopes with prescribed diagram symmetries Frattini Geometry of Non-Generating Complexes: Symmetry, Homology and Betti Numbers On the residual finiteness of the non-abelian exterior square of wreath products and the Grigorchuk group Finite index extensions of treeable equivalence relations are treeable On unifying Jones representations of braid groups and Thompson's group Asymptotic connectivity, hamiltonicity and toughness Finite Chains of Two-Complexes and Acyclic Covers Nullhomotopic equivariant shifts and Borsuk-Ulam-compatible compact abelian groups