{
  "id": "2003.10907",
  "version": "v1",
  "published": "2020-03-23T09:57:48.000Z",
  "updated": "2020-03-23T09:57:48.000Z",
  "title": "Generators for Extended Mapping Class Groups",
  "authors": [
    "Tulin Altunoz",
    "Mehmetcik Pamuk",
    "Oguz Yildiz"
  ],
  "comment": "14 pages, 8 figures. arXiv admin note: text overlap with arXiv:2001.06326, arXiv:1912.10685",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that the extended mapping class group of a connected orientable punctured surface of genus at least three is generated by four involutions. Moreover, for $g\\geq6$, it is generated by three torsions, one of which is an involution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-23T09:57:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extended mapping class group",
      "generators",
      "involution",
      "connected orientable punctured surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}