{
  "id": "2209.00864",
  "version": "v1",
  "published": "2022-09-02T07:51:16.000Z",
  "updated": "2022-09-02T07:51:16.000Z",
  "title": "Maximality of subfields as cliques in Cayley graphs over finite fields",
  "authors": [
    "Chi Hoi Yip"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We show the maximality of subfields as cliques in a special family of Cayley graphs defined on the additive group of a finite field. In particular, this confirms a conjecture of Yip on generalized Paley graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-02T07:51:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C69",
      "11T24"
    ],
    "keywords": [
      "cayley graphs",
      "finite field",
      "maximality",
      "generalized paley graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}