{
  "id": "0902.1312",
  "version": "v2",
  "published": "2009-02-08T14:17:27.000Z",
  "updated": "2009-02-17T10:43:35.000Z",
  "title": "On the minimal norm of a non-regular generalized character of an arbitrary finite group",
  "authors": [
    "Geoffrey R. Robinson"
  ],
  "comment": "7 pages",
  "doi": "10.1112/blms/bdp129",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We prove that for any finite group G, the sum across non-identity elements of the squared absolute value of any generalized character of G which does not vanish on all non-identity elements of G is at least |G|/d -1, where d is the maximal degree of a complex irreducible character of G, and we identify all cases where this minimum possible value is attained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-17T10:43:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20"
    ],
    "keywords": [
      "arbitrary finite group",
      "non-regular generalized character",
      "minimal norm",
      "non-identity elements",
      "complex irreducible character"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.1312R"
    }
  }
}