\(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
type: Item
instance of: scholarly article
title: \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
zbMATH Open document ID: 1300.20045
author: Eddy Godelle
author: Luis Paris
published in: Mathematische Zeitschrift
publication date: 2012-12-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1007.1365
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 55R35
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 55P20
zbMATH DE Number: 6116871
zbMATH Keywords: Coxeter systems
zbMATH Keywords: Artin-Tits systems
zbMATH Keywords: reflection groups
zbMATH Keywords: simplicial complexes
zbMATH Keywords: homotopy types
zbMATH Keywords: flag complexes
zbMATH Keywords: word problem
zbMATH Keywords: virtual braid groups
MaRDI profile type: Publication
OpenAlex ID: W1994194609
arXiv ID: 1007.1365
cites work: Buildings
cites work: Braid pictures for Artin groups
cites work: The word problem for Artin groups of FC type
cites work: A geometric rational form for Artin groups of FC type.
cites work: Theory of braids
cites work: The virtual and universal braids
cites work: Combinatorial properties of virtual braids.
cites work: Groups and Lie algebras corresponding to the Yang-Baxter equations
cites work: Q5580319
cites work: Q4865842
cites work: Q4720067
cites work: Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
cites work: Artin-Gruppen und Coxeter-Gruppen
cites work: Geodesic automation and growth functions for Artin groups of finite type
cites work: The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
cites work: Q4266116
cites work: The \(K(\pi,1)\)-conjecture for the affine braid groups.
cites work: Q5431018
cites work: Les immeubles des groupes de tresses généralises
cites work: Categories of rooted cylinder ribbons and their representations
cites work: Dual presentations of braid groups of affine type \(\widetilde A\).
cites work: The \(K(\pi ,1)\) conjecture for a class of Artin groups
cites work: Configuration Spaces.
cites work: THE BRAID GROUP AND OTHER GROUPS
cites work: Braid presentation of virtual knots and welded knots
cites work: Virtual knot theory
cites work: VIRTUAL BRAIDS AND THE L-MOVE
cites work: A GEOMETRIC AND ALGEBRAIC DESCRIPTION OF ANNULAR BRAID GROUPS
cites work: The geometry of cube complexes and the complexity of their fundamental groups
cites work: Das \(K(\pi,1)\)-Problem für die affinen Wurzelsysteme vom Typ \(A_n\), \(C_n\)
cites work: Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
cites work: The homotopy type of Artin groups
cites work: Sur les théorèmes de de Rham
DOI: 10.1007/S00209-012-0989-9
description: scientific article