{
  "id": "math/0506610",
  "version": "v1",
  "published": "2005-06-30T02:11:57.000Z",
  "updated": "2005-06-30T02:11:57.000Z",
  "title": "The Alternating Groups and K3 Surfaces",
  "authors": [
    "D. -Q. Zhang"
  ],
  "comment": "Journal of Pure and Applied Algebra (21 pages) to appear",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this note, we consider all possible extensions G of a non-trivial perfect group H acting faithfully on a K3 surface X. The pair (X, G) is proved to be uniquely determined by G if the transcendental value of G is maximum. In particular, we have G/H < Z/(2) + Z/(2), if H is the alternating group A_5 and normal in G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-30T02:11:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14J50",
      "14J30"
    ],
    "keywords": [
      "k3 surface",
      "alternating group",
      "non-trivial perfect group",
      "transcendental value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6610Z"
    }
  }
}