{
  "id": "1206.5067",
  "version": "v2",
  "published": "2012-06-22T06:47:15.000Z",
  "updated": "2012-11-08T06:05:07.000Z",
  "title": "On a generalization of M-group",
  "authors": [
    "Tung Le",
    "Jamshid Moori",
    "Hung P. Tong-Viet"
  ],
  "comment": "17 pages, to appear in J. Algebra",
  "doi": "10.1016/j.jalgebra.2012.10.018",
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "In this paper, we will show that if for every nonlinear complex irreducible character of a finite group G, some multiple of it is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's Theorem on the solvability of M-group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-08T06:05:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20D10",
      "20D05",
      "20C33"
    ],
    "keywords": [
      "generalization",
      "nonlinear complex irreducible character",
      "finite group",
      "proper subgroup",
      "taketas theorem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.5067L"
    }
  }
}