Cheeger constant and algebraic entropy of linear groups

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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.
11 pages, annoucement

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Group Theory, Differential Geometry, 20Fxx; 53Cxx

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http://salesiana.dossiersoluciones.com/handle/123456789/75853

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507441
 http://arxiv.org/abs/math/0507441

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arXiv