{
  "id": "1106.4261",
  "version": "v4",
  "published": "2011-06-21T16:48:09.000Z",
  "updated": "2012-09-10T14:50:02.000Z",
  "title": "All finite groups are involved in the Mapping Class Group",
  "authors": [
    "Gregor Masbaum",
    "Alan W. Reid"
  ],
  "comment": "This is the final version submitted to Geometry & Topology, and is almost identical with the published paper",
  "journal": "Geometry & Topology 16 (2012) 1393 - 1411",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $\\Gamma_g$ denote the orientation-preserving Mapping Class Group of the genus $g\\geq 1$ closed orientable surface. In this paper we show that for fixed $g$, every finite group occurs as a quotient of a finite index subgroup of $\\Gamma_g$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-09-10T14:50:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F38",
      "57R56"
    ],
    "keywords": [
      "finite index subgroup",
      "finite group occurs",
      "orientation-preserving mapping class group",
      "closed orientable surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4261M"
    }
  }
}