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
Descrição
Resumo: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.