A Magnus theorem for some one-relator groups

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dc.creatorBogopolski, Oleg
dc.creatorSviridov, Konstantin
dc.date2009-04-07
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:18Z
dc.date.available2026-07-07T13:06:18Z
dc.descriptionWe will say that a group G possesses the Magnus property if for any two elements u,v in G with the same normal closure, u is conjugate to v or v^{-1}. We prove that some one-relator groups, including the fundamental groups of closed nonorientable surfaces of genus g>3 possess this property. The analogous result for orientable surfaces of any finite genus was obtained by the first author [Geometric methods in group theory, Contemp. Math, 372 (2005) 59-69].
dc.descriptionThis is the version published by Geometry & Topology Monographs on 29 April 2008. V2: typographical corrections
dc.identifierhttps://arxiv.org/abs/0904.1143
dc.identifierhttp://arxiv.org/abs/0904.1143
dc.identifierGeom. Topol. Monogr. 14 (2008) 63-73
dc.identifierdoi:10.2140/gtm.2008.14.63
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227738
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F34, 20E45
dc.titleA Magnus theorem for some one-relator groups
dc.typetext

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