Largeness of LERF and 1-relator groups

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dc.creatorButton, Jack
dc.date2008-03-26
dc.date.accessioned2026-07-07T09:28:45Z
dc.date.available2026-07-07T09:28:45Z
dc.descriptionWe consider largeness of groups given by a presentation of deficiency 1, where the group is respectively free-by-cyclic, LERF or 1-relator. We give the first examples of (finitely generated free)-by-(infinite cyclic) word hyperbolic groups which are large, show that a LERF deficiency 1 group with first Betti number at least 2 is large or the integers times the integers, and show that 2-generator 1-relator groups where the relator has height 1 obey the dichotomy that either the group is large or all its finite images are metacyclic.
dc.description33 pages; contains a problem list on pages 22 to 28
dc.identifierhttps://arxiv.org/abs/0803.3805
dc.identifierhttp://arxiv.org/abs/0803.3805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157542
dc.subjectGroup Theory
dc.subject20F05
dc.titleLargeness of LERF and 1-relator groups
dc.typetext

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