{
  "id": "math/0503112",
  "version": "v1",
  "published": "2005-03-06T12:10:33.000Z",
  "updated": "2005-03-06T12:10:33.000Z",
  "title": "A Foata bijection for the alternating group and for q analogues",
  "authors": [
    "Dan Bernstein",
    "Amitai Regev"
  ],
  "comment": "16 pages",
  "journal": "S\\'eminaire Lotharingien Combin. 53 (2005), Article B53b, 16 pp",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Foata bijection $\\Phi : S_n \\to S_n$ is extended to the bijections $\\Psi : A_{n+1} \\to A_{n+1}$ and $\\Psi_q : S_{n+q-1} \\to S_{n+q-1}$, where S_m, A_m are the symmetric and the alternating groups. These bijections imply bijective proofs for recent equidistribution theorems, by Regev and Roichman, for A_{n+1} and for S_{n+q-1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-06T12:10:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A19"
    ],
    "keywords": [
      "foata bijection",
      "alternating group",
      "equidistribution theorems",
      "bijections imply bijective proofs"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3112B"
    }
  }
}