For any Coxeter group , we define a filtration of by –submodules and then compute the associated graded terms. More generally, if is a CW complex on which acts as a reflection group we compute the associated graded terms for and, in the case where the action is proper and cocompact, for .
"Cohomology of Coxeter groups with group ring coefficients: II." Algebr. Geom. Topol. 6 (3) 1289 - 1318, 2006. https://doi.org/10.2140/agt.2006.6.1289