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

Matthieu Calvez; Bruno A. Cisneros de la Cruz; María Cumplido

doi:10.1016/j.jalgebra.2020.03.017

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

Matthieu Calvez^*, Bruno A. Cisneros de la Cruz, María Cumplido

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

38 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	621-633
Number of pages	13
Journal	Journal of Algebra
Volume	556
Early online date	9 Apr 2020
DOIs	https://doi.org/10.1016/j.jalgebra.2020.03.017
Publication status	Published - 15 Aug 2020

Keywords

Artin-Tits group
Conjugacy stability
Parabolic subgroups

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2020.03.017

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title = "Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type",

abstract = "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 Gonz{\'a}lez-Meneses in the specific case of Artin braid groups.",

keywords = "Artin-Tits group, Conjugacy stability, Parabolic subgroups",

author = "Matthieu Calvez and {Cisneros de la Cruz}, {Bruno A.} and Mar{\'i}a Cumplido",

year = "2020",

month = aug,

day = "15",

doi = "10.1016/j.jalgebra.2020.03.017",

language = "English",

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journal = "Journal of Algebra",

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T1 - Conjugacy stability of parabolic subgroups of Artin-Tits groups of spherical type

AU - Calvez, Matthieu

AU - Cisneros de la Cruz, Bruno A.

AU - Cumplido, María

PY - 2020/8/15

Y1 - 2020/8/15

N2 - 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.

AB - 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.

KW - Artin-Tits group

KW - Conjugacy stability

KW - Parabolic subgroups

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U2 - 10.1016/j.jalgebra.2020.03.017

DO - 10.1016/j.jalgebra.2020.03.017

M3 - Article

AN - SCOPUS:85083345910

SN - 0021-8693

VL - 556

SP - 621

EP - 633

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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