{
  "id": "math/0411435",
  "version": "v3",
  "published": "2004-11-19T15:06:02.000Z",
  "updated": "2005-01-31T09:44:05.000Z",
  "title": "Bounded geometry in relatively hyperbolic groups",
  "authors": [
    "F. Dahmani",
    "A. Yaman"
  ],
  "journal": "New York J. Math. 11 (2005), pp. 89--95.",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that, if a group is relatively hyperbolic, the parabolic subgroups are virtually nilpotent if and only if there exists a hyperbolic space with bounded geometry on which it acts geometrically finitely. This provides, by use of M. Bonk and O. Schramm embedding theorem, a very short proof of the finiteness of asymptotic dimension of relatively hyperbolic groups with virtually nilpotent parabolic subgroups (which is known to imply Novikov conjectures",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-01-31T09:44:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F67",
      "20F69"
    ],
    "keywords": [
      "relatively hyperbolic groups",
      "bounded geometry",
      "virtually nilpotent parabolic subgroups",
      "schramm embedding theorem",
      "short proof"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11435D"
    }
  }
}