The \(K(\pi, 1)\) conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups

DOI10.2140/AGT.2024.24.1487MaRDI QIDQ6593002

Katherine M. Goldman

Publication date: 26 August 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

fundamental groupArtin groupCAT(0)parabolic subgroupDeligne complex\(K(\pi,1)\)-conjectureextra-large type

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36)

Cites Work

• Title not available (Why is that?)
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• Artin groups and infinite Coxeter groups
• Extensions of complexes of groups
• Acylindrical hyperbolicity and Artin-Tits groups of spherical type
• \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
• Proof of the \(K(\pi,1)\) conjecture for affine Artin groups
• Acylindrical hyperbolicity for Artin groups of dimension \(2\)
• XXL type Artin groups are CAT(0) and acylindrically hyperbolic
• Euclidean Artin-Tits groups are acylindrically hyperbolic
• The \(K(\pi ,1)\) conjecture for a class of Artin groups
• Relatively extra-large Artin groups
• \(K(\pi,1)\) conjecture for Artin groups.
• Tight geodesics in the curve complex
• Les immeubles des groupes de tresses généralises
• The Tits conjecture for locally reducible Artin groups
• Acylindrically hyperbolic groups
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• On the acylindrical hyperbolicity of the tame automorphism group of SL2(C)
• A note on the acylindrical hyperbolicity of groups acting on CAT(0) cube complexes

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