群と環と幾何学の構造的性質 - 2026/10/19の論文14本

arXiv math.GRの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-19/ Eventual Exactness and Rigidity for Abelian Covers of Groups Failure of direct finiteness for group algebras in every odd characteristic The Diophantine Problem in Wreath Products of Groups Comparing word probabilities in finite groups On the residual polynilpotence of tree products of groups with locally cyclic edge subgroups Derivations of Lie $p$-rings with applications on ring extensions and computational methods Finite power image families and automorphism actions in linear groups Charmenability of twin building lattices Subvariety intervals and limit varieties of zero extensions of mirror-word semirings Two-generator presentations with a relation gap Separable elements and Bruhat orders Signed dual graphs and face spectral gaps of Cayley 2-complexes Strongly Choquet-Deny groups and invariant strictly convex renormings Arithmeticity, superrigidity, and totally geodesic submanifolds of infinite-volume hyperbolic manifolds