{
  "id": "math/0010267",
  "version": "v1",
  "published": "2000-10-27T17:20:40.000Z",
  "updated": "2000-10-27T17:20:40.000Z",
  "title": "On the linearity of certain mapping class groups",
  "authors": [
    "Mustafa Korkmaz"
  ],
  "comment": "5 pages, 1 figure, to apper in Turkish Journal of Mathematics",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some field. Using this, we deduce from previously known results that the mapping class group of a sphere with punctures and hyperelliptic mapping class groups are linear. In particular, the mapping class group of a closed orientable surface of genus 2 is linear.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-27T17:20:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M60"
    ],
    "keywords": [
      "braid group",
      "hyperelliptic mapping class groups",
      "general linear group",
      "faithful representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....10267K"
    }
  }
}