Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products.
Summary: We compute: \(\bullet\) 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, \(\bullet\) the \(L^2\)-Betti numbers of Bestvina-Brady groups of type FP over \(\mathbb Q\), and of graph products of groups, \(\bullet\) the weighted \(L^2\)-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.
scientific article; zbMATH DE number 6088869
scientific article