{
  "id": "1702.03439",
  "version": "v1",
  "published": "2017-02-11T17:03:29.000Z",
  "updated": "2017-02-11T17:03:29.000Z",
  "title": "On number of isomorphism classes of derived subgroups",
  "authors": [
    "Leyli Jafari Taghvasani",
    "Soran Marzang"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we show that a finite nonabelian characteristically simple group G satisfying n = |\\pi(G)|+2 if and only if G is isomorphic to A5, where n is the number of isomorphism classes of derived subgroups of G and \\pi(G) is the set of prime divisors of the group G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-11T17:03:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isomorphism classes",
      "derived subgroups",
      "finite nonabelian characteristically simple group",
      "prime divisors",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}