Algebraic & Geometric Topology

Cohomology of Coxeter groups with group ring coefficients: II

Michael W Davis, Jan Dymara, Tadeusz Januszkiewicz, and Boris Okun

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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

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

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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

Coxeter group Hecke algebra building cohomology of groups


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.

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