Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 6, Number 3 (2006), 1289-1318.
Cohomology of Coxeter groups with group ring coefficients: II
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 .
Algebr. Geom. Topol., Volume 6, Number 3 (2006), 1289-1318.
Received: 10 April 2006
Revised: 28 June 2006
Accepted: 22 June 2006
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 20F55: Reflection and Coxeter groups [See also 22E40, 51F15]
Secondary: 20C08: Hecke algebras and their representations 20E42: Groups with a $BN$-pair; buildings [See also 51E24] 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx] 20J06: Cohomology of groups 57M07: Topological methods in group theory
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