Relative hyperbolicity and Artin groups.

DOI10.1007/s10711-007-9178-0zbMath1161.20032arXivmath/0601179OpenAlexW2593029800MaRDI QIDQ5920407

Ruth M. Charney, John Crisp

Publication date: 21 January 2008

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601179

zbMATH Keywords

parabolic subgroupsArtin groupsDeligne complexeshyperbolic groupsGromov hyperbolic spacesDavis complexesactions by isometriesrelative hyperbolicity

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (9)

Extensions of Veech groups I: A hyperbolic action ⋮ Hyperbolic groups acting improperly ⋮ Relatively geometric actions on CAT$\operatorname{CAT}$(0) cube complexes ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Random groups arising as graph products. ⋮ The geometry of the curve graph of a right-angled Artin group ⋮ Dehn filling Dehn twists ⋮ Relative cubulations and groups with a 2-sphere boundary ⋮ Hyperbolic structures for Artin-Tits groups of spherical type

Cites Work

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• Geometry of the complex of curves. I: Hyperbolicity
• Automorphisms and abstract commensurators of 2-dimensional Artin groups.
• A topological characterisation of relatively hyperbolic groups
• The Deligne complex for the four-strand braid group
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Relatively hyperbolic groups
• Relative hyperbolicity and Artin groups.

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