{
  "id": "0904.0450",
  "version": "v2",
  "published": "2009-04-02T19:45:00.000Z",
  "updated": "2009-07-01T21:08:59.000Z",
  "title": "On conjugacy classes of SL$(2,q)$",
  "authors": [
    "Edith Adan-Bante",
    "John M. Harris"
  ],
  "comment": "11 pages. Added references, corrected typos, improved presentation",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "Let SL(2,q) be the group of 2X2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least q-1 distinct conjugacy classes of SL(2,q). On the other hand, if q>3 is odd, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least (q+3)/2 distinct conjugacy classes of SL(2,q).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-07-01T21:08:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G40",
      "20E45"
    ],
    "keywords": [
      "distinct conjugacy classes",
      "noncentral conjugacy classes",
      "finite field",
      "2x2 matrices",
      "determinant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.0450A"
    }
  }
}