Artin-Tits groups with CAT(0) Deligne complex.
type: Item
instance of: scholarly article
title: Artin-Tits groups with CAT(0) Deligne complex.
zbMATH Open document ID: 1149.20032
author: Eddy Godelle
published in: Journal of Pure and Applied Algebra
publication date: 2006-12-07T00:00:00Z
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 53C23
zbMATH DE Number: 5078553
zbMATH Keywords: Artin-Tits systems
zbMATH Keywords: parabolic subgroups
zbMATH Keywords: Deligne complexes
zbMATH Keywords: normalizers
zbMATH Keywords: commensurators
zbMATH Keywords: quasi-centralizers
zbMATH Keywords: Artin-Tits groups
MaRDI profile type: Publication
full work available at URL: j.jpaa.2005.11.012
OpenAlex ID: W2008152940
cites work: A geometric rational form for Artin groups of FC type.
cites work: Q5580319
cites work: Q4720067
cites work: Artin-Gruppen und Coxeter-Gruppen
cites work: The Tits conjecture for locally reducible Artin groups
cites work: The Deligne complex for the four-strand braid group
cites work: The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
cites work: Les immeubles des groupes de tresses généralises
cites work: Centralisers in the braid group and singular braid monoid
cites work: Normalizer and Artin group of spherical type.
cites work: Parabolic subgroups of Artin groups of type FC.
cites work: Parabolic subgroups of Artin groups
cites work: Artin monoids inject in their groups
cites work: Braid subgroup normalisers, commensurators and induced representations
DOI: 10.1016/J.JPAA.2005.11.012
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description: scientific article; zbMATH DE number 5078553