{
  "id": "0708.0397",
  "version": "v1",
  "published": "2007-08-02T18:54:03.000Z",
  "updated": "2007-08-02T18:54:03.000Z",
  "title": "A presentation for the mapping class group of the closed non-orientable surface of genus 4",
  "authors": [
    "Błażej Szepietowski"
  ],
  "comment": "28 pages, 7 figures",
  "journal": "J. Pure Appl. Algebra 213 (2009), 2001-2016",
  "doi": "10.1016/j.jpaa.2009.02.009",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "Finite presentations for the mapping class group M(F) are known for arbitrary orientable compact surface F. If F is non-orientable, then such presentations are known only when F has genus at most 3 and few boundary components. In this paper we obtain finite presentation for the mapping class group of the closed non-orientable surface of genus 4 from its action on the so called ordered complex of curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-02T18:54:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N05",
      "20F05",
      "20F38"
    ],
    "keywords": [
      "mapping class group",
      "closed non-orientable surface",
      "finite presentation",
      "arbitrary orientable compact surface",
      "boundary components"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.0397Z"
    }
  }
}