Artin-Tits groups with CAT(0) Deligne complex.

DOI10.1016/j.jpaa.2005.11.012zbMath1149.20032OpenAlexW2008152940MaRDI QIDQ856330

Eddy Godelle

Publication date: 7 December 2006

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.11.012

zbMATH Keywords

parabolic subgroupsDeligne complexesnormalizerscommensuratorsArtin-Tits groupsArtin-Tits systemsquasi-centralizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items

Conjugacy in relatively extra-large Artin groups ⋮ A Deligne complex for Artin monoids ⋮ Automorphisms and abstract commensurators of 2-dimensional Artin groups. ⋮ Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexes ⋮ Parabolic subgroups in FC-type Artin groups ⋮ On a conjecture in Artin groups ⋮ Acylindrical hyperbolicity for Artin groups of dimension \(2\) ⋮ PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY ⋮ The conjugacy stability problem for parabolic subgroups in Artin groups ⋮ Parabolic subgroups of large-type Artin groups ⋮ Parabolic subgroups inside parabolic subgroups of Artin groups

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