{
  "id": "2304.12869",
  "version": "v1",
  "published": "2023-04-25T14:40:17.000Z",
  "updated": "2023-04-25T14:40:17.000Z",
  "title": "The Field of Values of the Height Zero Characters",
  "authors": [
    "Gabriel Navarro",
    "Lucas Ruhstorfer",
    "Pham Huu Tiep",
    "Carolina Vallejo"
  ],
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "We determine what are the fields of values of the irreducible $p$-height zero characters of all finite groups for $p=2$; we conjecture what they should be for odd primes, and reduce this statement to a problem on blocks of quasi-simple groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-25T14:40:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D20",
      "20C15"
    ],
    "keywords": [
      "height zero characters",
      "odd primes",
      "quasi-simple groups",
      "finite groups",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}