4 citations · 8 across the 3 of their papers we have counts for
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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…
math.GR2002
On dense free subgroups of Lie groups
Emmanuel Breuillard, Tsachik Gelander
We give a method for constructing dense and free subgroups in real Lie groups. In particular we show that any dense subgroup of a connected semisimple real Lie group G contains a f…