A Deligne complex for Artin monoids

DOI10.1016/j.jalgebra.2021.03.015OpenAlexW3045464950WikidataQ115019750 ScholiaQ115019750MaRDI QIDQ2153336

Rose Morris-Wright, Rachael Boyd, Ruth M. Charney

Publication date: 4 July 2022

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

Full work available at URL: https://arxiv.org/abs/2007.12156

zbMATH Keywords

Artin groupsArtin monoids\(K(\pi, 1)\) conjecture

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Algebraic monoids (20M32)

Cites Work

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• Artin-Tits groups with CAT(0) Deligne complex.
• Hyperplane complements of large type
• On the classifying spaces of discrete monoids
• A note on words in braid monoids
• The word problem for Artin groups of FC type
• Geodesic automation and growth functions for Artin groups of finite type
• Artin monoids inject in their groups
• The homotopy type of Artin groups
• Proof of the \(K(\pi,1)\) conjecture for affine Artin groups
• Configuration spaces of labeled particles and finite Eilenberg-MacLane complexes
• \(K(\pi,1)\) conjecture for Artin groups.
• Special cube complexes
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• An introduction to right-angled Artin groups.
• THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS
• Discrete Morse theory and a reformulation of theK(π,1)-conjecture
• Homological stability for Artin monoids
• Singular Metrics of Nonpositive Curvature on Branched Covers of Riemannian Manifolds
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• On the classifying space of Artin monoids
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• 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 BRAID GROUP AND OTHER GROUPS

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