Geodesic
Cohomology of Coxeter groups with group ring coefficients: II
Davis, Michael W1 ; Dymara, Jan2 ; Januszkiewicz, Tadeusz1 ; Okun, Boris3
1The Ohio State University, Department of Mathematics, 231 W 18th Ave, Columbus, Ohio 43210–1174, USA
2Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
3University of Wisconsin–Milwaukee, Department of Mathematical Sciences, PO Box 413, Milwaukee WI 53201–0413, USA
Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1289-1318
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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).

DOI : 10.2140/agt.2006.6.1289
Keywords: Coxeter group, Hecke algebra, building, cohomology of groups

Davis, Michael W  1   ; Dymara, Jan  2   ; Januszkiewicz, Tadeusz  1   ; Okun, Boris  3

1 The Ohio State University, Department of Mathematics, 231 W 18th Ave, Columbus, Ohio 43210–1174, USA
2 Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
3 University of Wisconsin–Milwaukee, Department of Mathematical Sciences, PO Box 413, Milwaukee WI 53201–0413, USA 
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Davis, Michael W; Dymara, Jan; Januszkiewicz, Tadeusz; Okun, Boris. Cohomology of Coxeter groups with group ring coefficients: II. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1289-1318. doi: 10.2140/agt.2006.6.1289

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