{
  "id": "math/0405386",
  "version": "v2",
  "published": "2004-05-20T05:52:39.000Z",
  "updated": "2005-08-23T05:25:04.000Z",
  "title": "K_g is not finitely generated",
  "authors": [
    "Daniel Biss",
    "Benson Farb"
  ],
  "comment": "17 pages, 2 figures",
  "doi": "10.1007/s00222-005-0472-x",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We prove that for any genus g>1, the subgroup K_g of the mapping class group of a closed genus g surface generated by Dehn twists about separating curves is not finitely generated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-08-23T05:25:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dehn twists",
      "mapping class group",
      "closed genus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}