- the cohomology with group ring coefficients of Artin groups (or actually, of their associated Salvetti complexes), of Bestvina–Brady groups of type FP, and of graph products of groups,
- the -Betti numbers of Bestvina–Brady groups of type FP over , and of graph products of groups,
- the weighted -Betti numbers of graph products of Coxeter groups.
In the case of arbitrary graph products there is an additional proviso: either all factors are infinite or all are finite.
Cite this article
Michael W. Davis, Boris Okun, Cohomology computations for Artin groups, Bestvina–Brady groups, and graph products. Groups Geom. Dyn. 6 (2012), no. 3, pp. 485–531DOI 10.4171/GGD/164