{
  "id": "0912.0873",
  "version": "v2",
  "published": "2009-12-04T14:53:33.000Z",
  "updated": "2011-02-23T08:59:27.000Z",
  "title": "Rank 3 permutation characters and maximal subgroups",
  "authors": [
    "Hung P. Tong-Viet"
  ],
  "comment": "41 pages, to appear in Forum Mathematicum",
  "doi": "10.1515/FORM.2011.106",
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "In this paper we classify all maximal subgroups M of a nearly simple primitive rank 3 group G of type L=Omega_{2m+1}(3), m > 3; acting on an L-orbit E of non-singular points of the natural module for L such that 1_P^G <=1_M^G where P is a stabilizer of a point in E. This result has an application to the study of minimal genera of algebraic curves which admit group actions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-23T08:59:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B15",
      "20E28",
      "20C20"
    ],
    "keywords": [
      "maximal subgroups",
      "permutation characters",
      "admit group actions",
      "natural module",
      "simple primitive rank"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.0873T"
    }
  }
}