{
  "id": "0910.5848",
  "version": "v4",
  "published": "2009-10-30T11:23:28.000Z",
  "updated": "2018-02-15T09:38:14.000Z",
  "title": "Abelianization of p-groups with derived subgroup of prime order",
  "authors": [
    "Guhan Venkat"
  ],
  "comment": "The 'conjecture' stated in this paper is false",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper, we arrive at the structure for $G^{ab}(= G/G')$ from a presentation for $G$. We also prove that the frattini subgroup of the abelianization is $G^p$ or the quotient of $G^p$ by the derived subgroup $G'$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-04T05:07:39.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2018-02-15T09:38:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E34"
    ],
    "keywords": [
      "derived subgroup",
      "prime order",
      "abelianization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5848V"
    }
  }
}