{
  "id": "0803.3144",
  "version": "v1",
  "published": "2008-03-21T11:04:52.000Z",
  "updated": "2008-03-21T11:04:52.000Z",
  "title": "A note on minimal finite quotients of mapping class groups",
  "authors": [
    "Bruno P. Zimmermann"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We prove that the minimal nontrivial finite quotient group of the mapping class group M_g of a closed orientable surface of genus g is the symplectic group PSp(2g,Z_2), for g = 3 and 4 (this might remain true, however, for arbitrary genus g > 2). We discuss also some results for arbitrary genus g.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-21T11:04:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "20F34"
    ],
    "keywords": [
      "mapping class group",
      "minimal finite quotients",
      "minimal nontrivial finite quotient group",
      "arbitrary genus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3144Z"
    }
  }
}