Endomorphisms of relatively hyperbolic groups

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dc.authoridSzczepanski, Andrzej/0000-0002-7927-261X
dc.authorwosidSzczepanski, Andrzej/AAF-1491-2020
dc.contributor.authorBelegradek, Igor
dc.contributor.authorSzczepanski, Andrzej
dc.contributor.authorBelegradek, Oleg V.
dc.date.accessioned2024-07-18T20:48:47Z
dc.date.available2024-07-18T20:48:47Z
dc.date.issued2008
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractWe generalize some results of Paulin and Rips-Sela on endomorphisms of hyperbolic groups to relatively hyperbolic groups, and in particular prove the following. If G is a nonelementary relatively hyperbolic group with slender parabolic subgroups, and either G is not co-Hopfian or Out( G) is infinite, then G splits over a slender group. If H is a nonparabolic subgroup of a relatively hyperbolic group, and if any isometric H-action on an R-tree is trivial, then H is Hopfian. If G is a nonelementary relatively hyperbolic group whose peripheral subgroups are finitely generated, then G has a nonelementary relatively hyperbolic quotient that is Hopfian. Any finitely presented group is isomorphic to a finite index subgroup of Out( H) for some group H with Kazhdan property ( T). ( This sharpens a result of Ollivier-Wise).en_US
dc.identifier.doi10.1142/S0218196708004305
dc.identifier.endpage110en_US
dc.identifier.issn0218-1967
dc.identifier.issn1793-6500
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-44249104490en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage97en_US
dc.identifier.urihttps://doi.org/10.1142/S0218196708004305
dc.identifier.urihttps://hdl.handle.net/11411/7926
dc.identifier.volume18en_US
dc.identifier.wosWOS:000254194500005en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal of Algebra and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRelatively Hyperbolicen_US
dc.subjectAutomorphism Groupen_US
dc.subjectHopfianen_US
dc.subjectCo-Hopfianen_US
dc.subjectProperty (T)en_US
dc.subjectSplittingen_US
dc.subjectActions On Treesen_US
dc.subjectHopf Propertyen_US
dc.subjectDegenerationsen_US
dc.subjectFinitenessen_US
dc.subjectSubgroupsen_US
dc.subjectRigidityen_US
dc.subjectSpacesen_US
dc.titleEndomorphisms of relatively hyperbolic groups
dc.typeArticle

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