{
  "id": "math/0304413",
  "version": "v1",
  "published": "2003-04-25T15:11:16.000Z",
  "updated": "2003-04-25T15:11:16.000Z",
  "title": "Products of characters and derived length",
  "authors": [
    "Edith Adan-Bante"
  ],
  "comment": "12 pages, to appear J. Algebra",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let G be a finite solvable group and $\\chi\\in \\Irr(G)$ be a faithful character. We show that the derived length of G is bounded by a linear function of the number of distinct irreducible constituents of $\\chi\\bar{\\chi}$. We also discuss other properties of the decomposition of $\\chi\\bar{\\chi}$ into its irreducible constituents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-25T15:11:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "derived length",
      "finite solvable group",
      "linear function",
      "distinct irreducible constituents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4413A"
    }
  }
}