Cheeger constant and algebraic entropy of linear groups
Group Theory
2007-05-23 v1 Differential Geometry
Abstract
We prove a uniform version of the Tits alternative. As a consequence, we obtain uniform lower bounds for the Cheeger constant of Cayley grahs of finitely generated non virtually solvable linear groups in arbitrary characteristic. Also we show that the algebraic entropy of discrete subgroups of a given Lie group is uniformly bounded away from zero.
Keywords
Cite
@article{arxiv.math/0507441,
title = {Cheeger constant and algebraic entropy of linear groups},
author = {Emmanuel Breuillard and Tsachik Gelander},
journal= {arXiv preprint arXiv:math/0507441},
year = {2007}
}
Comments
11 pages, annoucement