On parabolic subgroups of Artin-Tits groups

DOI10.1016/j.jalgebra.2023.06.004zbMath1520.20084arXiv2207.06528OpenAlexW4309422375MaRDI QIDQ6114015

Eddy Godelle

Publication date: 11 July 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06528

zbMATH Keywords

retractionCoxeter groupintersectionArtin groupparabolic subgroup

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Buildings of spherical type and finite BN-pairs
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Artin monoids inject in their groups
• \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
• Parabolic subgroups in FC-type Artin groups
• On parabolic subgroups of Artin-Tits groups of spherical type
• Convexity of parabolic subgroups in Artin groups
• Parabolic subgroups of large-type Artin groups
• Parabolic subgroups inside parabolic subgroups of Artin groups

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