Embedding free Burnside groups in finitely presented groups

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dc.creatorIvanov, S. V.
dc.date2002-10-17
dc.date.accessioned2026-07-07T04:52:06Z
dc.date.available2026-07-07T04:52:06Z
dc.descriptionWe construct an embedding of a free Burnside group $B(m,n)$ of odd $n > 2^{48}$ and rank $m >1$ in a finitely presented group with some special properties. The main application of this embedding is an easy construction of finitely presented non-amenable groups without noncyclic free subgroups (which provides a finitely presented counterexample to the von Neumann problem on amenable groups). As another application, we construct weakly finitely presented groups of odd exponent $n \gg 1$ which are not locally finite.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0210276
dc.identifierhttp://arxiv.org/abs/math/0210276
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65341
dc.subjectGroup Theory
dc.subjectPrimary 20E06, 20F05, 20F06, 20F50; Secondary 43A07, 20F38
dc.titleEmbedding free Burnside groups in finitely presented groups
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