Artin groups of infinite type: Trivial centers and acylindrical hyperbolicity

DOI10.1090/proc/14503zbMath1483.20068arXiv1805.04028OpenAlexW2964095592MaRDI QIDQ5233948

Rose Morris-Wright, Ruth M. Charney

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04028

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (13)

CAT(0) cube complexes with flat hyperplanes ⋮ A Deligne complex for Artin monoids ⋮ Virtual Artin groups ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ The centralizer of a Coxeter element ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Parabolic subgroups in FC-type Artin groups ⋮ On a conjecture in Artin groups ⋮ Acylindrical hyperbolicity for Artin groups of dimension \(2\) ⋮ The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups ⋮ ACYLINDRICAL HYPERBOLICITY OF ARTIN–TITS GROUPS ASSOCIATED WITH TRIANGLE-FREE GRAPHS AND CONES OVER SQUARE-FREE BIPARTITE GRAPHS ⋮ Euclidean Artin-Tits groups are acylindrically hyperbolic ⋮ Parabolic subgroups of large-type Artin groups

Cites Work

• Unnamed Item
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• The 6-strand braid group is \(\mathrm{CAT}(0)\).
• Multifraction reduction. I: The 3-Ore case and Artin-Tits groups of type FC.
• Braids, posets and orthoschemes
• Constructing group actions on quasi-trees and applications to mapping class groups
• Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.
• Parabolic subgroups of Artin groups
• A geometric rational form for Artin groups of FC type.
• Acylindrical hyperbolicity and Artin-Tits groups of spherical type
• Parabolic subgroups of Artin groups of type FC.
• \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
• Hyperbolicities in CAT(0) cube complexes
• The \(K(\pi ,1)\) conjecture for a class of Artin groups
• Multifraction reduction. II: Conjectures for Artin-Tits groups
• \(K(\pi,1)\) conjecture for Artin groups.
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• Les immeubles des groupes de tresses généralises
• Acylindrically hyperbolic groups
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Basic Questions on Artin-Tits groups
• Virtually Cocompactly Cubulated Artin–Tits Groups
• On the acylindrical hyperbolicity of the tame automorphism group of SL2(C)

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