2005/07/21 by Emmanuel Breuillard, Breuillard, Emmanuel, Tsachik Gelander +1
Mathematics · #20Fxx #53Cxx #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR) #math.DG #math.GR #msc:20Fxx #msc:53Cxx
paper · pdf · doi:10.48550/arxiv.math/0507441
11 pages, annoucement
arxiv created 2005/07/21 · arxiv updated 2009/12/01
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.