Cohomology computations for Artin groups, Bestvina–Brady groups, and graph products
نویسندگان
چکیده
We compute: 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, theL-Betti numbers of Bestvina–Brady groups of type FP overQ, and of graph products of groups, the weighted L-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. Mathematics Subject Classification (2010). 20F36, 20F55, 20F65, 20J06, 55N25; 20E42, 57M07.
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