Cohomology of Coxeter groups with group ring coefficients: II

Davis, Michael W; Dymara, Jan; Januszkiewicz, Tadeusz; Okun, Boris

Cohomology of Coxeter groups with group ring coefficients: II

Authors

Davis, Michael W

Dymara, Jan

Januszkiewicz, Tadeusz

Okun, Boris

Description

For any Coxeter group W, we define a filtration of H^*(W;ZW) by W-submodules and then compute the associated graded terms. More generally, if U is a CW complex on which W acts as a reflection group we compute the associated graded terms for H_*(U) and, in the case where the action is proper and cocompact, for H^*_c(U).
This is the version published by Algebraic & Geometric Topology on 15 September 2006