{
  "id": "1904.00638",
  "version": "v1",
  "published": "2019-04-01T08:41:44.000Z",
  "updated": "2019-04-01T08:41:44.000Z",
  "title": "On the characters of Sylow $p$-subgroups of finite Chevalley groups $G(p^f)$ for arbitrary primes",
  "authors": [
    "Tung Le",
    "Kay Magaard",
    "Alessandro Paolini"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We develop in this work a method to parametrize the set $\\mathrm{Irr}(U)$ of irreducible characters of a Sylow $p$-subgroup $U$ of a finite Chevalley group $G(p^f)$ which is valid for arbitrary primes $p$, in particular when $p$ is a very bad prime for $G$. As an application, we parametrize $\\mathrm{Irr}(U)$ when $G=\\mathrm{F}_4(2^f)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-01T08:41:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33",
      "20D06",
      "20D15"
    ],
    "keywords": [
      "finite chevalley group",
      "arbitrary primes",
      "bad prime",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}