{
  "id": "1106.5288",
  "version": "v3",
  "published": "2011-06-27T02:38:38.000Z",
  "updated": "2012-05-10T06:10:13.000Z",
  "title": "The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups",
  "authors": [
    "Yoshifumi Matsuda",
    "Shin-ichi Oguni",
    "Saeko Yamagata"
  ],
  "comment": "19 pages, several revisions throughout the paper",
  "categories": [
    "math.GR"
  ],
  "abstract": "We discuss the notion of the universal relatively hyperbolic structure on a group which is used in order to characterize relatively hyperbolic structures on the group. We also study relations between relatively hyperbolic structures on a group and relative quasiconvexity for subgroups of the group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-05-10T06:10:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F67",
      "20F65"
    ],
    "keywords": [
      "universal relatively hyperbolic structure",
      "relative quasiconvexity",
      "characterize relatively hyperbolic structures",
      "study relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5288M"
    }
  }
}