{
  "id": "1409.2249",
  "version": "v1",
  "published": "2014-09-08T09:16:58.000Z",
  "updated": "2014-09-08T09:16:58.000Z",
  "title": "Connected quandles and transitive groups",
  "authors": [
    "Alexander Hulpke",
    "David Stanovský",
    "Petr Vojtěchovský"
  ],
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Building on ideas of Galkin, we establish a canonical representation of connected quandles as certain configurations in transitive groups, called quandle envelopes. This characterization allows us to efficiently enumerate connected quandles of small orders, and present new proofs concerning connected quandles of order p and 2p. We also characterize affine connected quandles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-08T09:16:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "20N02",
      "20N05",
      "20B10"
    ],
    "keywords": [
      "transitive groups",
      "proofs concerning connected quandles",
      "small orders",
      "quandle envelopes",
      "efficiently enumerate connected quandles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.2249H"
    }
  }
}