{
  "id": "0908.0705",
  "version": "v8",
  "published": "2009-08-05T16:52:59.000Z",
  "updated": "2010-12-23T13:37:31.000Z",
  "title": "Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups",
  "authors": [
    "V. Gerasimov",
    "L. Potyagailo"
  ],
  "comment": "17 pages, 1 figure",
  "doi": "10.4171/JEMS/417",
  "categories": [
    "math.GR"
  ],
  "abstract": "We describe the kernel of the canonical map from the Floyd boundary of a relatively hyperbolic group to its Bowditch boundary. Using our methods we then prove that a finitely generated group $H$ admitting a quasi-isometric map $\\phi$ into a relatively hyperbolic group $G$ is relatively hyperbolic with respect to a system of subgroups whose image under $\\phi$ is situated in a uniformly bounded distance from the parabolic subgroups of $G$.",
  "revisions": [
    {
      "version": "v8",
      "updated": "2010-12-23T13:37:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "30F40",
      "57M07",
      "22D05"
    ],
    "keywords": [
      "relatively hyperbolic group",
      "floyd boundary",
      "quasi-isometric map",
      "parabolic subgroups",
      "bowditch boundary"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.0705G"
    }
  }
}