{
  "id": "math/0311462",
  "version": "v1",
  "published": "2003-11-26T07:03:21.000Z",
  "updated": "2003-11-26T07:03:21.000Z",
  "title": "The Alternating Group of degree 6 in Geometry of the Leech Lattice and K3 Surfaces",
  "authors": [
    "JongHae Keum",
    "Keiji Oguiso",
    "De-Qi Zhang"
  ],
  "comment": "24 pages, 6 figures",
  "categories": [
    "math.AG",
    "math.GR"
  ],
  "abstract": "The alternating group of degree 6 is located at the junction of three series of simple non-commutative groups : simple sporadic groups, alternating groups and simple groups of Lie type. It plays a very special role in the theory of finite groups. We shall study its new roles both in a finite geometry of certain pentagon in the Leech lattice and also in a complex algebraic geometry of $K3$ surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-26T07:03:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "11H06",
      "20D06",
      "20D08"
    ],
    "keywords": [
      "alternating group",
      "leech lattice",
      "k3 surfaces",
      "complex algebraic geometry",
      "simple sporadic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11462K"
    }
  }
}