Bestvina's normal form complex and the homology of Garside groups.

DOI10.1023/B:GEOM.0000024696.69357.73zbMath1064.20044arXivmath/0202228OpenAlexW2011897026MaRDI QIDQ1827422

Ruth M. Charney, John Meier, Kim Whittlesey

Publication date: 6 August 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202228

zbMATH Keywords

Artin groupsduality groupsGarside groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Homological methods in group theory (20J05)

Related Items (35)

The dual braid monoid ⋮ Tame Garside monoids. ⋮ Interval garside structures related to the affine Artin groups of type \(\widetilde{A}\) ⋮ Garside groups are strongly translation discrete. ⋮ Artin groups of Euclidean type ⋮ Birth of Garside groups in memory of Patrick Dehornoy ⋮ Garside groups and geometry: Some thoughts for Patrick Dehornoy ⋮ Interval groups related to finite Coxeter groups. I ⋮ Homology of Gaussian groups. ⋮ Systolic complexes and group presentations ⋮ Bredon homology of Artin groups of dihedral type ⋮ Abelian Subgroups of Garside Groups ⋮ Generalization of the Dehornoy-Lafont order complex to categories: application to exceptional braid groups ⋮ Periodic elements in Garside groups. ⋮ Homology computations for complex braid groups. ⋮ Discrete Morse theory and a reformulation of theK(π,1)-conjecture ⋮ \(K(\pi,1)\) conjecture for Artin groups. ⋮ Alternating normal forms for braids and locally Garside monoids. ⋮ Conjugacy in Garside groups. II: Structure of the ultra summit set. ⋮ Curve graphs and Garside groups ⋮ Braid groups of imprimitive complex reflection groups. ⋮ Finite Hurwitz braid group actions for Artin groups. ⋮ The language of geodesics for Garside groups ⋮ Non-crossing partition lattices in finite real reflection groups ⋮ The group of parenthesized braids. ⋮ Classifying spaces from Ore categories with Garside families ⋮ Proof of the \(K(\pi,1)\) conjecture for affine Artin groups ⋮ Translation numbers in a Garside group are rational with uniformly bounded denominators. ⋮ Garside Groups and Yang–Baxter Equation ⋮ Helly meets Garside and Artin ⋮ Left-Garside categories, self-distributivity, and braids ⋮ ON WORD REVERSING IN BRAID GROUPS ⋮ Dual Euclidean Artin groups and the failure of the lattice property. ⋮ Finite complex reflection arrangements are \(K(\pi,1)\) ⋮ Explicit presentations for the dual braid monoids

This page was built for publication: Bestvina's normal form complex and the homology of Garside groups.