The cohomology of Bestvina-Brady groups
Algebraic Topology
2007-12-03 v1 Group Theory
Abstract
For each subcomplex of the standard CW-structure on any torus, we compute the homology of a certain infinite cyclic regular covering space. In all cases when the homology is finitely generated, we also compute the cohomology ring. For aspherical subcomplexes of the torus our computation gives the homology and cohomology of Bestvina-Brady groups. We compute the cohomological dimension of each of these groups over any field and over any subring of the rationals.
Keywords
Cite
@article{arxiv.0711.5018,
title = {The cohomology of Bestvina-Brady groups},
author = {Ian J Leary and Muge Saadetoglu},
journal= {arXiv preprint arXiv:0711.5018},
year = {2007}
}
Comments
Submitted July 2006