Dense embeddings of surface groups
Group Theory
2009-03-02 v2 Geometric Topology
Abstract
We discuss dense embeddings of surface groups and fully residually free groups in topological groups. We show that a compact topological group contains a nonabelian dense free group of finite rank if and only if it contains a dense surface group. Also, we obtain a characterization of those Lie groups which admit a dense faithfully embedded surface group. Similarly, we show that any connected semisimple Lie group contains a dense copy of any fully residually free group.
Cite
@article{arxiv.math/0602635,
title = {Dense embeddings of surface groups},
author = {Emmanuel Breuillard and Tsachik Gelander and Juan Souto and Peter Storm},
journal= {arXiv preprint arXiv:math/0602635},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 4 October 2006