Non-amenable finitely presented torsion-by-cyclic groups

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dc.creatorOlshanskii, A. Yu.
dc.creatorSapir, M. V.
dc.date2002-08-30
dc.date.accessioned2026-07-07T04:50:28Z
dc.date.available2026-07-07T04:50:28Z
dc.descriptionWe construct a finitely presented non-amenable group without free non-cyclic subgroups thus providing a finitely presented counterexample to von Neumann's problem. Our group is an extension of a group of finite exponent n >> 1 by a cyclic group, so it satisfies the identity [x,y]^n = 1.
dc.identifierhttps://arxiv.org/abs/math/0208237
dc.identifierhttp://arxiv.org/abs/math/0208237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64803
dc.subjectGroup Theory
dc.subjectFunctional Analysis
dc.subject20F05; 20F50; 20F65
dc.titleNon-amenable finitely presented torsion-by-cyclic groups
dc.typetext

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