The cohomology of Bestvina-Brady groups.

DOI10.4171/GGD/118zbMath1246.20046arXiv0711.5018MaRDI QIDQ646379

Müge Saadetoğlu, Ian J. Leary

Publication date: 17 November 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.5018

zbMATH Keywords

cohomology ringssimplicial complexesArtin groupsfundamental groupscohomological dimensionBestvina-Brady groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Topological methods in group theory (57M07) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (10)

Homology of even Artin kernels ⋮ Coabelian ideals in \(\mathbb{N}\)-graded Lie algebras and applications to right angled Artin Lie algebras ⋮ Geometric dimension of groups for the family of virtually cyclic subgroups ⋮ Amenable groups of finite cohomological dimension and the zero divisor conjecture ⋮ Euler classes and Bredon cohomology for groups with restricted families of finite subgroups. ⋮ Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products. ⋮ A homotopy theoretical generalisation of the Bestvina-Brady construction ⋮ Constructing presentations of subgroups of right-angled Artin groups. ⋮ Toric complexes and Artin kernels ⋮ Bestvina complex for group actions with a strict fundamental domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The topology of discrete groups
• Morse theory and finiteness properties of groups
• Presentations for subgroups of Artin groups
• On subgroups of Coxeter groups
• The Bestvina-Brady Construction Revisited: Geometric Computation of ∑-Invariants for Right-Angled Artin Groups

This page was built for publication: The cohomology of Bestvina-Brady groups.