{
  "id": "1808.03115",
  "version": "v1",
  "published": "2018-08-09T12:38:03.000Z",
  "updated": "2018-08-09T12:38:03.000Z",
  "title": "Supercharacter theories for Sylow $p$-subgroups of Lie type $G_2$",
  "authors": [
    "Yujiao Sun"
  ],
  "comment": "31 pages, 8 tables. arXiv admin note: text overlap with arXiv:1611.09287",
  "categories": [
    "math.RT"
  ],
  "abstract": "We construct a supercharacter theory, and establish the supercharacter table for Sylow $p$-subgroups $G_2^{syl}(q)$ of the Chevalley groups $G_2(q)$ of Lie type $G_2$ when $p>2$. Then we calculate the conjugacy classes, determine the complex irreducible characters by Clifford theory, and obtain the character tables for $G_2^{syl}(q)$ when $p>3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-09T12:38:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20D15",
      "20C33",
      "20D20"
    ],
    "keywords": [
      "lie type",
      "supercharacter theory",
      "clifford theory",
      "chevalley groups",
      "character tables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}