The cohomology of BestvinaBrady groups
Abstract
For each subcomplex of the standard CWstructure 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 BestvinaBrady groups. We compute the cohomological dimension of each of these groups over any field and over any subring of the rationals.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.5018
 Bibcode:
 2007arXiv0711.5018L
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Group Theory;
 20J05
 EPrint:
 Submitted July 2006