Cayleyグラフと代数構造の解析 - 2026/10/27の論文25本

arXiv math.GRの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-27/ Extensions of a family of Linear Cycle Sets whose underlying group is a product of two cyclic groups A crystallographic quotient of the framed braid group and associated flat manifolds Absolutely universal projective embeddings of long-root geometries of orthogonal type Counterexamples to congruences in finite p-groups On the isomorphism problem of Cayley digraphs On 2-Arc-Transitive Cayley Graphs of Nonabelian Characteristically Simple Groups Word Trace Formulas over Compact Groups and Connected Cumulants The measure equivalence classification of Baumslag-Solitar groups Chain flaring fails on the rose for atoroidal irreducible automorphisms Abelian quotients and orbit sizes for subgroups of linear groups The_Quadratic_Conjecture_and_p-groups_of_maximal_class Non-discrete complex hyperbolic $(p_1,p_2,p_3;p_4)$-triangle groups Modular representations of metabelian groups Finite groups with exactly 2p + 1 subgroups of order p Infranormal Kazhdan subgroups and instability in finite actions The geometric combinatorics of $k$-shuffle polynomials The Symmetry of Differential Neural Tangent Kernel under the Orthogonal Group Local Reflexivity and Exactness for Reduced $C^*$-Algebras of Wreath Products Cross work induced by transformations on the symmetric group and related transformation semigroups The flipping principle for boundedly acyclic covers and colorings On Cayley Graphs of Skew Braces and Their Distances 2-generation of Chevalley Lie algebras over finite fields Cutoff for random walks on nilpotent groups Generalizing Praeger--Xu graphs Projections in reduced group C*-algebras with prescribed trace values in (0,1)