The Tits alternative for CAT(0) cubical complexes

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dc.creatorSageev, Michah
dc.creatorWise, Daniel T.
dc.date2004-05-02
dc.date.accessioned2026-07-07T05:07:52Z
dc.date.available2026-07-07T05:07:52Z
dc.descriptionWe prove a Tits alternative theorem for groups acting on CAT(0) cubical complexes. Namely, suppose that $G$ is a group for which there is a bound on the orders of its finite subgroups. We prove that if $G$ acts properly on a finite-dimensional CAT(0) cubical complex, then either $G$ contains a free subgroup of rank 2 or $G$ is finitely generated and virtually abelian. In particular the above conclusion holds for any group $G$ with a free action on a finite-dimensional CAT(0) cubical complex.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0405022
dc.identifierhttp://arxiv.org/abs/math/0405022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71037
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F67, 20E08
dc.titleThe Tits alternative for CAT(0) cubical complexes
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