{
  "id": "1608.04501",
  "version": "v1",
  "published": "2016-08-16T07:04:59.000Z",
  "updated": "2016-08-16T07:04:59.000Z",
  "title": "Abelian subgroups of the mapping class groups for non-orientable surfaces",
  "authors": [
    "Erika Kuno"
  ],
  "comment": "9 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Birman-Lubotzky-McCarthy proved that any abelian subgroup of the mapping class groups for orientable surfaces is finitely generated. We apply Birman-Lubotzky-McCarthy's arguments to the mapping class groups for non-orientable surfaces. We especially find a finitely generated group isomorphic to a given torsion-free subgroup of the mapping class groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-16T07:04:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F38",
      "20K27"
    ],
    "keywords": [
      "mapping class groups",
      "abelian subgroup",
      "non-orientable surfaces",
      "torsion-free subgroup",
      "apply birman-lubotzky-mccarthys arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}