{
  "id": "1002.1991",
  "version": "v2",
  "published": "2010-02-09T22:16:09.000Z",
  "updated": "2011-05-03T14:42:59.000Z",
  "title": "Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups",
  "authors": [
    "Marc Bourdon",
    "Bruce Kleiner"
  ],
  "categories": [
    "math.GR",
    "math.DG",
    "math.MG"
  ],
  "abstract": "We study combinatorial modulus on boundaries of hyperbolic Coxeter groups. We give new examples of hyperbolic groups whose boundary satisfies a combinatorial version of the Loewner property, and prove Cannon's conjecture for Coxeter groups. We also establish some connections with l^p cohomology.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-03T14:42:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial loewner property",
      "study combinatorial modulus",
      "hyperbolic coxeter groups",
      "cannons conjecture",
      "combinatorial version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1991B"
    }
  }
}