Cohomology of Coxeter groups with group ring coefficients: II

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

2005-11-30

arxiv.org/abs/math/0512001v2

Algebr. Geom. Topol. 6 (2006) 1289-1318

Mathematics

Group Theory

This is the version published by Algebraic & Geometric Topology on 15 September 2006

Scientific paper

10.2140/agt.2006.6.1289

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
H^*_c(U).

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