{
  "id": "1012.5291",
  "version": "v1",
  "published": "2010-12-23T20:35:01.000Z",
  "updated": "2010-12-23T20:35:01.000Z",
  "title": "Automorphism groups of Quandles",
  "authors": [
    "M. Elhamdadi",
    "J. MacQuarrie",
    "R. Restrepo"
  ],
  "journal": "J. Algebra Appl. 11 (2012), no. 1, 1250008, 9 pp",
  "doi": "10.1142/S0219498812500089",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [9], automorphism groups of quandles (up to isomorphisms) of order less than or equal to 5 were given. With the help of the software Maple, we compute the inner and automorphism groups of all seventy three quandles of order six listed in the appendix of [4]. Since computations of automorphisms of quandles relates to the problem of classification of quandles, we also describe an algorithm implemented in C for computing all quandles (up to isomorphism) of order less than or equal to nine.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-23T20:35:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inner automorphism group",
      "isomorphism",
      "affine group",
      "integers mod",
      "dihedral quandle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.5291E"
    }
  }
}