{
  "id": "math/0405500",
  "version": "v2",
  "published": "2004-05-26T16:03:07.000Z",
  "updated": "2004-11-25T19:38:18.000Z",
  "title": "Relatively Hyperbolic Groups with Rapid Decay Property",
  "authors": [
    "Cornelia Drutu",
    "Mark Sapir"
  ],
  "comment": "10 pages. Accepted in International Mathematics Research Notices",
  "categories": [
    "math.GR",
    "math.FA"
  ],
  "abstract": "We prove that a finitely generated group $G$ hyperbolic relative to the collection of finitely generated subgroups H_1,..., H_m has the Rapid Decay property if and only if each H_i, i=1,2,..., m, has the Rapid Decay property.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-11-25T19:38:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rapid decay property",
      "relatively hyperbolic groups",
      "finitely generated group",
      "collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5500D"
    }
  }
}