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arxiv: 0904.1850 · v1 · submitted 2009-04-12 · 🧮 math.GR

Ground subgroups

classification 🧮 math.GR
keywords groundsubgroupsdescribefinitegivengroupgroupssubgroup
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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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