{
  "id": "0709.2973",
  "version": "v2",
  "published": "2007-09-19T08:47:02.000Z",
  "updated": "2009-04-27T16:43:27.000Z",
  "title": "Cycle structures of autotopisms of the Latin squares of order up to 11",
  "authors": [
    "R. M. Falcon"
  ],
  "comment": "18 pages. Accepted for publication in Ars Combinatoria",
  "categories": [
    "math.CO"
  ],
  "abstract": "The cycle structure of a Latin square autotopism $\\Theta=(\\alpha,\\beta,\\gamma)$ is the triple $(\\mathbf{l}_{\\alpha},\\mathbf{l}_{\\beta},\\mathbf{l}_{\\gamma})$, where $\\mathbf{l}_{\\delta}$ is the cycle structure of $\\delta$, for all $\\delta\\in\\{\\alpha,\\beta,\\gamma\\}$. In this paper we study some properties of these cycle structures and, as a consequence, we give a classification of all autotopisms of the Latin squares of order up to 11.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-27T16:43:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B15",
      "20N05"
    ],
    "keywords": [
      "cycle structure",
      "latin square autotopism",
      "properties",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.2973F"
    }
  }
}