{
  "id": "2406.01074",
  "version": "v1",
  "published": "2024-06-03T07:49:32.000Z",
  "updated": "2024-06-03T07:49:32.000Z",
  "title": "Classification of generalized Alexander quandles",
  "authors": [
    "Akihiro Higashitani",
    "Seiichi Kamada",
    "Jin Kosaka",
    "Hirotake Kurihara"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-03T07:49:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20N02",
      "20B05",
      "53C35"
    ],
    "keywords": [
      "generalized alexander quandles",
      "classification",
      "group automorphisms",
      "isomorphism classes",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}