Free subgroups acting properly discontinuously
Group Theory
2013-04-30 v2
Abstract
Given an action of a group G on a topological space X, we establish a necessary and sufficient condition for the existence of a free subgroup F of rank 2 of G acting properly discontinuously on at least one nonempty, open, F-invariant subspace of X. In the case of a discrete topology (group action on a set X), the condition simply detects free subgroups of rank 2 acting freely on some orbit.
Cite
@article{arxiv.1304.1274,
title = {Free subgroups acting properly discontinuously},
author = {Zoran Sunic},
journal= {arXiv preprint arXiv:1304.1274},
year = {2013}
}