{
  "id": "math/0603239",
  "version": "v3",
  "published": "2006-03-10T01:24:52.000Z",
  "updated": "2008-08-28T05:00:21.000Z",
  "title": "Groups with a Character of Large Degree",
  "authors": [
    "Noah Snyder"
  ],
  "comment": "11 pages, 0 figures. v3 incorporates the referee's suggestions",
  "journal": "Proc. Amer. Math. Soc. 136 (2008), no. 6, 1893--1903",
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "Let G be a finite group of order n and V an irreducible representation over the complex numbers of dimension d. For some nonnegative number e, we have n=d(d+e). If e is small, then the character of V has unusually large degree. We fix e and attempt to classify such groups. For e<=3 we give a complete classification. For any other fixed e we show that there are only finitely many examples.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-28T05:00:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15"
    ],
    "keywords": [
      "finite group",
      "complete classification",
      "unusually large degree",
      "complex numbers",
      "nonnegative number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3239S"
    }
  }
}