Uniform independence in linear groups

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dc.creatorBreuillard, E.
dc.creatorGelander, T.
dc.date2006-11-27
dc.date.accessioned2026-07-07T07:33:23Z
dc.date.available2026-07-07T07:33:23Z
dc.descriptionWe show that for any finitely generated group of matrices that is not virtually solvable, there is an integer m such that, given an arbitrary finite generating set for the group, one may find two elements a and b that are both products of at most m generators, such that a and b are free generators of a free subgroup. This uniformity result improves the original statement of the Tits alternative.
dc.identifierhttps://arxiv.org/abs/math/0611829
dc.identifierhttp://arxiv.org/abs/math/0611829
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119440
dc.subjectGroup Theory
dc.subject20G25 ; 22E40
dc.titleUniform independence in linear groups
dc.typetext

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