most citedCheeger constant and algebraic entropy of linear groups

4 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.GR2005★ 4 cited

Cheeger constant and algebraic entropy of linear groups

Emmanuel Breuillard, Tsachik Gelander

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 so…

math.GR2004★ 4 cited

A topological Tits alternative

Emmanuel Breuillard, Tsachik Gelander

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 resu…