群と代数と符号とリンク理論 - 2026/7/31の論文9本

arXiv math.GRの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-gr/episodes/2026-07-31/The Monster group is a completion of the Goldschmidt G3-amalgamCentralizer Excess as an Obstruction to Carlson's Depth ConjecturePolynomial Maps with Constants over Division Algebras and the Generalized Kaplansky--L'vov ConjectureComponents in characteristic $p$ and Quillen's conjectureCentralizers and classifying spaces for commutativity of $SL_2(\mathbb{Z}[1/p])$Constructing linear codes from digraphs and groupsMixed-identity-freeness and primitivity of group ringsThompson's Group $V$ and Virtual Link TheoryVertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$