{
  "id": "1607.04030",
  "version": "v1",
  "published": "2016-07-14T08:25:23.000Z",
  "updated": "2016-07-14T08:25:23.000Z",
  "title": "The Extended Mapping Class Group Can Be Generated by Two Torsions",
  "authors": [
    "Xiaoming Du"
  ],
  "comment": "7 pages, 5 figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "Let $S_g$ be the closed oriented surface of genus g and let $\\text{Mod}^{\\pm}(S_g)$ be the extended mapping class group of $S_g$. When the genus is at least 5, we prove that $\\text{Mod}^{\\pm}(S_g)$ can be generated by two torsion elements. One of these generators is an order 2 element, and the other one is an order 4g+2 element.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-14T08:25:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05",
      "57M20",
      "20F38"
    ],
    "keywords": [
      "extended mapping class group",
      "torsion elements",
      "generators",
      "closed oriented surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}