{
  "id": "2401.07073",
  "version": "v1",
  "published": "2024-01-13T13:20:12.000Z",
  "updated": "2024-01-13T13:20:12.000Z",
  "title": "Algebraic degrees of $n$-Cayley digraphs over abelian groups",
  "authors": [
    "Hao Li",
    "Xiaogang Liu"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A digraph is called an $n$-Cayley digraph if its automorphism group has an $n$-orbit semiregular subgroup. We determine the splitting fields of $n$-Cayley digraphs over abelian groups and compute a bound on their algebraic degrees, before applying our results on Cayley digraphs over non-abelian groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-13T13:20:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05C25"
    ],
    "keywords": [
      "cayley digraph",
      "algebraic degrees",
      "orbit semiregular subgroup",
      "non-abelian groups",
      "automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}