Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type

We give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This answers a question posed by Ivan Marin and generalizes a theorem obtained by Juan González-Meneses in the specific case of Artin braid groups.

Detalhes bibliográficos
Autores: Calvez, Matthieu, Cisneros de la Cruz, Bruno A., Cumplido Cabello, María
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2020
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/139108
Acesso em linha:https://hdl.handle.net/11441/139108
https://doi.org/10.1016/j.jalgebra.2020.03.017
Access Level:Acceso aberto
Palavra-chave:Artin-Tits group
Conjugacy stability
Parabolic subgroups
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spelling Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical typeCalvez, MatthieuCisneros de la Cruz, Bruno A.Cumplido Cabello, MaríaArtin-Tits groupConjugacy stabilityParabolic subgroupsWe give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This answers a question posed by Ivan Marin and generalizes a theorem obtained by Juan González-Meneses in the specific case of Artin braid groups.ElsevierÁlgebraFQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/139108https://doi.org/10.1016/j.jalgebra.2020.03.017reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of algebra, 556, 621-633.https://doi.org/10.1016/j.jalgebra.2020.03.017info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1391082026-06-17T12:51:07Z
dc.title.none.fl_str_mv Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
title Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
spellingShingle Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
Calvez, Matthieu
Artin-Tits group
Conjugacy stability
Parabolic subgroups
title_short Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
title_full Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
title_fullStr Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
title_full_unstemmed Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
title_sort Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type
dc.creator.none.fl_str_mv Calvez, Matthieu
Cisneros de la Cruz, Bruno A.
Cumplido Cabello, María
author Calvez, Matthieu
author_facet Calvez, Matthieu
Cisneros de la Cruz, Bruno A.
Cumplido Cabello, María
author_role author
author2 Cisneros de la Cruz, Bruno A.
Cumplido Cabello, María
author2_role author
author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Singularidades, Geometría Algebraica Aritmética, Grupos y Homotopía
dc.subject.none.fl_str_mv Artin-Tits group
Conjugacy stability
Parabolic subgroups
topic Artin-Tits group
Conjugacy stability
Parabolic subgroups
description We give a complete classification of conjugacy stable parabolic subgroups of Artin-Tits groups of spherical type. This answers a question posed by Ivan Marin and generalizes a theorem obtained by Juan González-Meneses in the specific case of Artin braid groups.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/139108
https://doi.org/10.1016/j.jalgebra.2020.03.017
url https://hdl.handle.net/11441/139108
https://doi.org/10.1016/j.jalgebra.2020.03.017
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of algebra, 556, 621-633.
https://doi.org/10.1016/j.jalgebra.2020.03.017
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
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