{
  "id": "1808.06930",
  "version": "v1",
  "published": "2018-08-19T02:34:28.000Z",
  "updated": "2018-08-19T02:34:28.000Z",
  "title": "Supercharacter theories for Sylow $p$-subgroups of the Ree groups",
  "authors": [
    "Yujiao Sun"
  ],
  "comment": "20 pages, 6 tables. arXiv admin note: text overlap with arXiv:1808.03115",
  "categories": [
    "math.RT"
  ],
  "abstract": "We determine a supercharacter theory for Sylow $p$-subgroups ${^2{G}_2^{syl}(3^{2m+1})}$ of the Ree groups $^2{G}_2(3^{2m+1})$, calculate the conjugacy classes of ${^2{G}_2^{syl}(3^{2m+1})}$, and establish the character table of ${^2{G}_2^{syl}(3)}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-19T02:34:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20D15",
      "20C33",
      "20D20"
    ],
    "keywords": [
      "ree groups",
      "supercharacter theory",
      "conjugacy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}