2022/09/29 by Maria Sabitova, Sabitova, Maria · 2 citations
Mathematics · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.2209.14966
We classify toroidal solenoids defined by non-singular n× n-matrices A with integer coefficients by studying associated first Ĉech cohomology groups. In a previous work, we classified the groups in the case n=2 using generalized ideal classes in the splitting field of the characteristic polynomial of A. In this paper we explore the classification problem for an arbitrary n.