{
  "id": "1202.5626",
  "version": "v2",
  "published": "2012-02-25T08:01:32.000Z",
  "updated": "2012-03-12T08:11:49.000Z",
  "title": "Some Characterizations of a Normal Subgroup of a Group",
  "authors": [
    "Vipul Kakkar",
    "R. P. Shukla"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Let G be a group and H be a subgroup of G which is either finite or of finite index in G. In this note, we give some characterizations for normality of H in G. As a consequence we get a very short and elementary proof of the Main Theorem of [5], which avoids the use of the classification of finite simple groups",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-12T08:11:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal subgroup",
      "characterizations",
      "finite simple groups",
      "finite index",
      "elementary proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5626K"
    }
  }
}