2009/04/12 by U. A. Rozikov, Rozikov, U. A.
Mathematics · #20K27 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Limits and Structures in Graph Theory
paper · pdf · doi:10.48550/arxiv.0904.1850
openalex publication_date 2009/04/12 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
In this article we give a concept of ground subgroup for finite and countable groups. By our definition such a subgroup of a group depends on a given subset of the group and on a given partition of the subset. For finite and free groups we describe some sets of ground subgroups. We apply the ground subgroups to describe ground states of a model of statistical mechanics.