{
  "id": "math/0509439",
  "version": "v3",
  "published": "2005-09-19T19:48:25.000Z",
  "updated": "2009-06-30T09:49:29.000Z",
  "title": "The FAn Conjecture for Coxeter groups",
  "authors": [
    "Angela Kubena Barnhill"
  ],
  "comment": "This is the version published by Algebraic & Geometric Topology on 19 November 2006",
  "journal": "Algebr. Geom. Topol. 6 (2006) 2117-2150",
  "doi": "10.2140/agt.2006.6.2117",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We study global fixed points for actions of Coxeter groups on nonpositively curved singular spaces. In particular, we consider property FA_n, an analogue of Serre's property FA for actions on CAT(0) complexes. Property FA_n has implications for irreducible representations and complex of groups decompositions. In this paper, we give a specific condition on Coxeter presentations that implies FA_n and show that this condition is in fact equivalent to FA_n for n=1 and 2. As part of the proof, we compute the Gersten-Stallings angles between special subgroups of Coxeter groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-06-30T09:49:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F55"
    ],
    "keywords": [
      "coxeter groups",
      "fan conjecture",
      "study global fixed points",
      "serres property fa",
      "fact equivalent"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}