The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups

DOI10.1016/j.jalgebra.2022.10.024OpenAlexW4308582838WikidataQ123346044 ScholiaQ123346044MaRDI QIDQ2099265

Kasia Jankiewicz, Kevin Schreve

Publication date: 23 November 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06591

zbMATH Keywords

the \(K(\pi, 1)\)-conjecture

Mathematics Subject Classification ID

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

Related Items (1)

On the Σ$\Sigma$‐invariants of Artin groups satisfying the K(π,1)$K(\pi,1)$‐conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-positively curved aspects of Artin groups of finite type
• Algorithms and geometry for graph products of groups
• Geometric monodromy groups of simple singularities
• Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups
• \(K(\pi,1)\) conjecture for Artin groups.
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS
• The Deligne complex for the four-strand braid group
• The Homological Algebra of Artin Groups.
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Basic Questions on Artin-Tits groups
• Artin groups of infinite type: Trivial centers and acylindrical hyperbolicity
• The mysterious geometry of Artin groups
• Presentations for the punctured mapping class groups in terms of Artin groups
• The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group
• Right‐angled Artin subgroups of Artin groups

This page was built for publication: The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups