{
  "id": "math/0412417",
  "version": "v3",
  "published": "2004-12-20T23:57:06.000Z",
  "updated": "2005-11-10T19:36:32.000Z",
  "title": "Matrices and Finite Quandles",
  "authors": [
    "Benita Ho",
    "Sam Nelson"
  ],
  "comment": "12 pages, informal undergraduate research. Published version includes some updates and new references",
  "journal": "Homology, Homotopy and Applications, Vol. 7 (2005), No. 1, pp.197-208",
  "categories": [
    "math.GT"
  ],
  "abstract": "Finite quandles with n elements can be represented as n-by-n matrices. We show how to use these matrices to distinguish all isomorphism classes of finite quandles for a given cardinality n, as well as how to compute the automorphism group of each finite quandle. As an application, we classify finite quandles with up to 5 elements and compute the automorphism group for each quandle.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-11-10T19:36:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "automorphism group",
      "isomorphism classes",
      "classify finite quandles",
      "n-by-n matrices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12417H"
    }
  }
}