群とグラフと表現論と不変量 - 2026/9/2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/2026-09-02/Generalized Graph Compositions with Applications to Difference Graphs of Finite GroupsHigher Massey Products in Demu\v{s}kin Variations: Support Blocks, One-Relator Reduction, and a Five-Fold Vanishing CaseTwo problems about subgroups of free groups concerning the lengths of their generatorsRelative property (T) for uniformly bounded representationsAccessible CAT$(-1)$ groups of critical exponent less than oneFinite permutation groups that act with fixity 4On commensurating graphs of pro-$\mathcal{C}$ groupsStabilizers in Coxeter groups with a transpositional actionCommon neighbour conjectures for Saxl graphs fail at every base sizeGallagher's Theorem for Real-valued Brauer CharactersProperly proximal countable measured groupoidsKazhdan's Property $(T)$ for Subspaces and Quotients of $L_p$-SpacesDepth-1 expanders on the unitary group and applications