群の構造と不変量と次元と幾何学 - 2026/8/25の論文19本

arXiv math.GRの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-08-25/The stable commutator length of a relator is not a one-relator group invariantSplittability, non-splittability, and automatic splittability of metacyclic $p$-groupsAspherical $PD_4$-pairsDeflation map and the sum of inverses of the element orders in finite groupsThe General Subgroup Permanental-Dominance Conjecture in Order FourPolynomial permutation stability, soficity, and universal polynomial groupsOn injective endomorphisms of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}^4}$ with a four-element family $\mathscr{F}^4$ of inductive non-empty subsets of $\omega$Forcible groups and Frattini coversDimension quotients as boundary limits: the general caseGorenstein dimensions and Hirsch length of groupsPresentations of Lower-Triangular Subgroups of $\operatorname{Aut}(F_n)$On Conjugacy Classes of Derangements in Symmetric and Alternating GroupsBorel dimension growth and hyperfinitenessEquations in Products of Free Groups and 3-Manifold Groups II: Olshanskii EpimorphismsUniform exponent bounds for integral group homologyAverage Numbers of Homomorphisms to Random Modules over Free Group AlgebrasA Proof of the Isaacs_Navarro_Wolf ConjectureThe Eaton--Moret\'o Conjecture Holds True for \(p\)-Solvable GroupsCoset geometries acting on their elements: The $j$-diagonals twisting