The cohomology of Bestvina-Brady groups

Details The cohomology of Bestvina-Brady groups The cohomology of Bestvina-Brady groups

2007-11-30

arxiv.org/abs/0711.5018v1

Mathematics

Algebraic Topology

Submitted July 2006

Scientific paper

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.

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