{
  "id": "math/0606093",
  "version": "v1",
  "published": "2006-06-04T18:47:00.000Z",
  "updated": "2006-06-04T18:47:00.000Z",
  "title": "Capability of nilpotent products of cyclic groups II",
  "authors": [
    "Arturo Magidin"
  ],
  "comment": "9 pages",
  "journal": "Journal of Group Theory 10 (2007) no. 4, pp. 441-451",
  "categories": [
    "math.GR"
  ],
  "abstract": "In Part I it was shown that if G is a p-group of class k, generated by elements of orders 1<p^{alpha_1} <= ... <= p^{alpha_r}, then a necessary condition for the capability of G is that r>1 and alpha_r <= alpha_{r-1} + [(k-1)/(p-1)]. It was also shown that when G is the k-nilpotent product of the cyclic groups generated by those elements and k=p=2 or k<p, then the given conditions are also sufficient. We make a correction related to the small class case, and extend the sufficiency result to k=p for arbitrary prime p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-04T18:47:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20F12"
    ],
    "keywords": [
      "cyclic groups",
      "nilpotent products",
      "capability",
      "small class case",
      "arbitrary prime"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6093M"
    }
  }
}