Hölder Conditions for Endomorphisms of Hyperbolic Groups

Detalhes bibliográficos
Autor(a) principal: Pedro V. Silva
Data de Publicação: 2016
Outros Autores: Vítor Araújo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/110908
Resumo: It is proved that an endomorphism of a hyperbolic group G satisfies a Hölder condition with respect to a visual metric if and only if is virtually injective and G is a quasiconvex subgroup of G. If G is virtually free or torsion-free co-hopfian, then is uniformly continuous if and only if it satisfies a Hölder condition if and only if it is virtually injective. (c) 2016, Copyright (c) Taylor & Francis Group, LLC.
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spelling Hölder Conditions for Endomorphisms of Hyperbolic GroupsIt is proved that an endomorphism of a hyperbolic group G satisfies a Hölder condition with respect to a visual metric if and only if is virtually injective and G is a quasiconvex subgroup of G. If G is virtually free or torsion-free co-hopfian, then is uniformly continuous if and only if it satisfies a Hölder condition if and only if it is virtually injective. (c) 2016, Copyright (c) Taylor & Francis Group, LLC.20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/110908eng0092-787210.1080/00927872.2015.1094480Pedro V. SilvaVítor Araújoinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T14:13:20Zoai:repositorio-aberto.up.pt:10216/110908Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:57:20.140118Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Hölder Conditions for Endomorphisms of Hyperbolic Groups
title Hölder Conditions for Endomorphisms of Hyperbolic Groups
spellingShingle Hölder Conditions for Endomorphisms of Hyperbolic Groups
Pedro V. Silva
title_short Hölder Conditions for Endomorphisms of Hyperbolic Groups
title_full Hölder Conditions for Endomorphisms of Hyperbolic Groups
title_fullStr Hölder Conditions for Endomorphisms of Hyperbolic Groups
title_full_unstemmed Hölder Conditions for Endomorphisms of Hyperbolic Groups
title_sort Hölder Conditions for Endomorphisms of Hyperbolic Groups
author Pedro V. Silva
author_facet Pedro V. Silva
Vítor Araújo
author_role author
author2 Vítor Araújo
author2_role author
dc.contributor.author.fl_str_mv Pedro V. Silva
Vítor Araújo
description It is proved that an endomorphism of a hyperbolic group G satisfies a Hölder condition with respect to a visual metric if and only if is virtually injective and G is a quasiconvex subgroup of G. If G is virtually free or torsion-free co-hopfian, then is uniformly continuous if and only if it satisfies a Hölder condition if and only if it is virtually injective. (c) 2016, Copyright (c) Taylor & Francis Group, LLC.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10216/110908
url https://hdl.handle.net/10216/110908
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0092-7872
10.1080/00927872.2015.1094480
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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