ラティスとグラフと剛性 - 2026/10/6の論文21本

arXiv math.GRの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-10-06/ Arc-disjoint Hamiltonian paths in Cayley digraphs with a normal difference subgroup Groups of Class Transpositions with Prescribed Prime Divisors of the Moduli Asymptotic Schur orthogonality for lattices A non-plain virtually free group with a strictly 2-geodetic Cayley graph The van Est theorem for Rota-Baxter Lie groups Presentation of Borel subgroups of Kac-Moody groups over local rings Conjugacy and period in symmetric diagram groups The group class SJ is not countably recognizable Uniquely Ergodic Branching Subset Currents on Free and Surface Groups Subgroup and Submonoid Membership in the lampshuffler of $\mathbb{Z}$ Polynomial filling functions of sublevel sets in $\mathrm{CAT}(0)$ cube complexes Equational Theories of Interval Semirings of Posets Higher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-Manifolds Amenable groups with nearly exponential sofic profile, and quantum channels that need nearly linear memory Torsion of every finite order in the homology of graph braid groups Extension properties for partial permutations Enumeration of Upper Triangular Symplectic Renner Monoids Polynomial families of incident flags and explicit off-diagonal Ramsey graphs Profinite rigidity and quandle colourings The Brou\'e invariant of a Morita equivalence with an endopermutation source A Cohomological Characterization of the Clifford Hierarchy