## Algebraic & Geometric Topology

### Cohomology of Coxeter groups with group ring coefficients: II

#### Abstract

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 $Hc∗(U)$.

#### Article information

Source
Algebr. Geom. Topol., Volume 6, Number 3 (2006), 1289-1318.

Dates
Revised: 28 June 2006
Accepted: 22 June 2006
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796578

Digital Object Identifier
doi:10.2140/agt.2006.6.1289

Mathematical Reviews number (MathSciNet)
MR2253447

Zentralblatt MATH identifier
1153.20038

#### Citation

Davis, Michael W; Dymara, Jan; Januszkiewicz, Tadeusz; Okun, Boris. Cohomology of Coxeter groups with group ring coefficients: II. Algebr. Geom. Topol. 6 (2006), no. 3, 1289--1318. doi:10.2140/agt.2006.6.1289. https://projecteuclid.org/euclid.agt/1513796578

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