Authors: Ian J Leary and M\"uge Saadeto\u{g}lu 

Ian Leary
Affiliation: The Ohio State University and University of Southampton

M\"uge Saadeto\u{g}lu
Affiliation: University of Southampton and Eastern Mediterranean University

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.  

Status: preprint