{
  "id": "0902.4311",
  "version": "v2",
  "published": "2009-02-25T08:16:49.000Z",
  "updated": "2010-11-02T17:35:32.000Z",
  "title": "A combinatorial approach to the power of 2 in the number of involutions",
  "authors": [
    "Dongsu Kim",
    "Jang Soo Kim"
  ],
  "comment": "13 pages",
  "journal": "J. Combin. Theory Ser. A, 117(8), 1082-1094, 2010",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We provide a combinatorial approach to the largest power of $p$ in the number of permutations $\\pi$ with $\\pi^p=1$, for a fixed prime number $p$. With this approach, we find the largest power of $2$ in the number of involutions, in the signed sum of involutions and in the numbers of even or odd involutions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-02T17:35:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "11B75"
    ],
    "keywords": [
      "combinatorial approach",
      "largest power",
      "odd involutions",
      "fixed prime number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4311K"
    }
  }
}