{
  "id": "0803.0539",
  "version": "v3",
  "published": "2008-03-04T20:33:37.000Z",
  "updated": "2017-04-18T18:05:03.000Z",
  "title": "The abelianization of the level L mapping class group",
  "authors": [
    "Andrew Putman"
  ],
  "comment": "9 pages, 1 figure; permanent preprint; added historical note discussing subsequent work on the subject",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We calculate the abelianizations of the level $L$ subgroup of the genus $g$ mapping class group and the level $L$ congruence subgroup of the $2g \\times 2g$ symplectic group for $L$ odd and $g \\geq 3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-12T19:47:43.000Z",
      "title": "The abelianization of the level $L$ mapping class group",
      "comment": "8 pages, 1 figure, fixed several typos and added several clarifications",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2017-04-18T18:05:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mapping class group",
      "abelianization",
      "congruence subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.0539P"
    }
  }
}