Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products.
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Publication:454400
DOI10.4171/GGD/164zbMATH Open1281.20062arXiv1002.2564MaRDI QIDQ454400
Author name not available (Why is that?)
Publication date: 1 October 2012
Published in: (Search for Journal in Brave)
Abstract: We compute: * the cohomology with group ring coefficients of Artin groups (or actually, of their associated Salvetti complexes), Bestvina-Brady groups, and graph products of groups, * the L^2-Betti numbers of Bestvina-Brady groups and of graph products of groups, * 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.(However, for graph products of Coxeter groups this proviso is unnecessary.)
Full work available at URL: https://arxiv.org/abs/1002.2564
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