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2006 Cohomology of Coxeter groups with group ring coefficients: II
Michael W Davis, Jan Dymara, Tadeusz Januszkiewicz, Boris Okun
Algebr. Geom. Topol. 6(3): 1289-1318 (2006). DOI: 10.2140/agt.2006.6.1289

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).

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Michael W Davis. Jan Dymara. Tadeusz Januszkiewicz. Boris Okun. "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

Information

Received: 10 April 2006; Revised: 28 June 2006; Accepted: 22 June 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1153.20038
MathSciNet: MR2253447
Digital Object Identifier: 10.2140/agt.2006.6.1289

Subjects:
Primary: 20F55
Secondary: 20C08, 20E42, 20F65, 20J06, 57M07

Rights: Copyright © 2006 Mathematical Sciences Publishers

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