Ground subgroups

Details Ground subgroups Ground subgroups

2009-04-12

arxiv.org/abs/0904.1850v1

Mathematics

Group Theory

14 pages

Scientific paper

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.

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