Centralizers of parabolic subgroups of Artin groups of type \(A_l\), \(B_l\), and \(D_l\)

DOI10.1006/jabr.1997.7097zbMath0937.20018OpenAlexW1532358174MaRDI QIDQ1372633

Luis Paris

Publication date: 12 March 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7097

zbMATH Keywords

parabolic subgroupsCoxeter systemsArtin groupsgenerating setscentralizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (7)

On centralizers of parabolic subgroups in Coxeter groups ⋮ Commensurability in Artin groups of spherical type ⋮ Conjugacy in relatively extra-large Artin groups ⋮ On the growth of Artin-Tits monoids and the partial theta function ⋮ Birth of Garside groups in memory of Patrick Dehornoy ⋮ RANDOMIZED METHODS IN ARTIN GROUPS OF FINITE TYPE ⋮ Braids, their Properties and Generalizations

Cites Work

• Parabolic subgroups of Artin groups
• Centralisers in the braid group and singular braid monoid
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• THE BRAID GROUP AND OTHER GROUPS
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