Cheeger constant and algebraic entropy of linear groups

Details Cheeger constant and algebraic entropy of linear groups Cheeger constant and algebraic entropy of linear groups

2005-07-21

arxiv.org/abs/math/0507441v1

Mathematics

Group Theory

11 pages, annoucement

Scientific paper

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.

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