A topological Tits alternative
Group Theory
2007-05-23 v1
Abstract
Let k be a local field, and G a linear group over k. We prove that either G contains a relatively open solvable subgroup, or it contains a relatively dense free subgroup. This result has applications in dynamics, Riemannian foliations and profinite groups.
Keywords
Cite
@article{arxiv.math/0403043,
title = {A topological Tits alternative},
author = {Emmanuel Breuillard and Tsachik Gelander},
journal= {arXiv preprint arXiv:math/0403043},
year = {2007}
}
Comments
43 pages