{
  "id": "math/0512001",
  "version": "v2",
  "published": "2005-11-30T21:35:07.000Z",
  "updated": "2009-04-23T08:02:48.000Z",
  "title": "Cohomology of Coxeter groups with group ring coefficients: II",
  "authors": [
    "Michael W Davis",
    "Jan Dymara",
    "Tadeusz Januszkiewicz",
    "Boris Okun"
  ],
  "comment": "This is the version published by Algebraic & Geometric Topology on 15 September 2006",
  "journal": "Algebr. Geom. Topol. 6 (2006) 1289-1318",
  "doi": "10.2140/agt.2006.6.1289",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "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 H^*_c(U).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-23T08:02:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20C08",
      "20E42",
      "20F65",
      "20J06",
      "57M07"
    ],
    "keywords": [
      "group ring coefficients",
      "coxeter group",
      "associated graded terms",
      "cohomology",
      "cw complex"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}