Free Groups in Lattices
Group Theory
2014-11-11 v5 Geometric Topology
Abstract
Let G be any locally compact, unimodular, metrizable group. The main result of this paper, roughly stated, is that if F<G is any finitely generated free group and \Gamma < G any lattice, then up to a small perturbation and passing to a finite index subgroup, F is a subgroup of \Gamma. If G/\Gamma is noncompact then we require additional hypotheses that include G=SO(n,1).
Cite
@article{arxiv.0802.0185,
title = {Free Groups in Lattices},
author = {Lewis Bowen},
journal= {arXiv preprint arXiv:0802.0185},
year = {2014}
}
Comments
This version corrects a few typos. Version 4 is a major rewrite over version 3