{
  "id": "1811.04883",
  "version": "v1",
  "published": "2018-11-12T17:59:47.000Z",
  "updated": "2018-11-12T17:59:47.000Z",
  "title": "The Torsion Generating Set Of The Mapping Class Groups Of Non-orientable Surfaces",
  "authors": [
    "Xiaoming Du"
  ],
  "comment": "5 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $N_g$ be the non-orientable surface with genus $g$, $\\text{MCG}(N_g)$ be the mapping class group of $N_g$. We prove that for genus $g=4k+3$, $\\text{MCG}(N_g)$ can be generated by two elements of finite orders. It can also be generated by three elements of order 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-12T17:59:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05",
      "57M20",
      "20F38"
    ],
    "keywords": [
      "mapping class group",
      "torsion generating set",
      "non-orientable surface",
      "finite orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}