Symmetrical subgroups of Artin groups

DOI10.1006/aima.1999.1895zbMath0997.20040OpenAlexW2062731792MaRDI QIDQ1578070

John Crisp

Publication date: 13 August 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1999.1895

zbMATH Keywords

symmetry groupsCoxeter systemsArtin groupsDeligne complexesArtin systems

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07)

Related Items

The Deligne complex for the four-strand braid group ⋮ Twisted Lawrence-Krammer representations ⋮ Coxeter groups, symmetries, and rooted representations ⋮ Parabolic subgroups of Garside groups. ⋮ Admissible submonoids of Artin-Tits monoids. ⋮ Fixed points of involutive automorphisms of the Bruhat order ⋮ Root systems, symmetries and linear representations of Artin groups ⋮ Fixed Points of Endomorphisms and Metrics in preGarside Monoids ⋮ Quasicentralizer of LCM-Homomorphisms ⋮ Injective morphisms between Artin-Tits groups

Cites Work

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• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
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