English

Ground subgroups

Group Theory 2009-04-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0904.1850,
  title  = {Ground subgroups},
  author = {U. A. Rozikov},
  journal= {arXiv preprint arXiv:0904.1850},
  year   = {2009}
}

Comments

14 pages

R2 v1 2026-06-21T12:50:32.988Z