2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228074For 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 2006Group TheoryAlgebraic Topology20F55, 20C08, 20E42, 20F65, 20J06, 57M07text