{
  "id": "1205.2994",
  "version": "v3",
  "published": "2012-05-14T12:05:33.000Z",
  "updated": "2012-12-28T23:33:37.000Z",
  "title": "Combination of fully quasiconvex subgroups and its applications",
  "authors": [
    "Wenyuan Yang"
  ],
  "comment": "25 pages, 3 figures. New added Cor. 1.5 about the existence of closed surface groups in relatively hyperbolic groups",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "In this paper, we state two combination theorems for relatively quasiconvex subgroups in a relatively hyperbolic group. Applications are given to the separability of double cosets of certain relatively quasiconvex subgroups and the existence of closed surface subgroups in relatively hyperbolic groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-12-28T23:33:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "fully quasiconvex subgroups",
      "relatively quasiconvex subgroups",
      "applications",
      "relatively hyperbolic group",
      "closed surface subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2994Y"
    }
  }
}