Embeddings of relatively free groups into finitely presented groups

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dc.creatorOlshanskii, A. Yu.
dc.creatorSapir, M. V.
dc.date2000-05-11
dc.date.accessioned2026-07-07T04:35:11Z
dc.date.available2026-07-07T04:35:11Z
dc.descriptionWe construct easy embeddings of relatively free groups (say the free Burnside group, the free solvable group) into finitely presented groups. We introduce a concept of verbal isoperimetric function of a group variety. We prove that if the verbal Dehn function of a relatively free group is bounded by a polynomial then the group can be embedded quasi-isometrically into a finitely presented group with polynomial isoperimetric function. We also construct an easy embedding of any Baumslag-Solitar solvable group into a finitely presented group with polynomial Dehn function.
dc.identifierhttps://arxiv.org/abs/math/0005112
dc.identifierhttp://arxiv.org/abs/math/0005112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59173
dc.subjectGroup Theory
dc.titleEmbeddings of relatively free groups into finitely presented groups
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