{
  "id": "1004.0934",
  "version": "v5",
  "published": "2010-04-06T19:20:53.000Z",
  "updated": "2013-02-16T21:36:50.000Z",
  "title": "A generalization of the probability that the commutator of two group elements is equal to a given element",
  "authors": [
    "Ahmad M. A. Alghamdi",
    "Francesco G. Russo"
  ],
  "comment": "To appear in Bull. Iranian Math. Soc. with some revisions",
  "journal": "Bull. Iranian Math. Soc. 38 (2012), 973-986",
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "The probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. Several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. Here we illustrate that a wider context may be considered and show some structural restrictions on the group.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-02-16T21:36:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20P05",
      "20D60"
    ],
    "keywords": [
      "group elements",
      "commutator",
      "probability",
      "generalization",
      "structural restrictions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.0934A"
    }
  }
}