Ground subgroups

zbMATH Open1237.20025arXiv0904.1850MaRDI QIDQ3105168

Publication date: 5 January 2012

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.

Full work available at URL: https://arxiv.org/abs/0904.1850

zbMATH Keywords

partitions finite groups Hamiltonian ground states countable groups coset decompositions ground subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07)