{
  "id": "math/0506578",
  "version": "v1",
  "published": "2005-06-28T19:12:42.000Z",
  "updated": "2005-06-28T19:12:42.000Z",
  "title": "Capable groups of prime exponent and class 2, II",
  "authors": [
    "Arturo Magidin"
  ],
  "comment": "30 pp",
  "categories": [
    "math.GR"
  ],
  "abstract": "We consider the capability of $p$ groups of class two and odd prime exponent. We use linear algebra and counting arguments to establish a number of new results. In particular, we settle the 4-generator case, and prove a sufficient condition based on the ranks of $G/Z(G)$ and $[G,G]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-28T19:12:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20F12",
      "15A04"
    ],
    "keywords": [
      "capable groups",
      "odd prime exponent",
      "linear algebra",
      "sufficient condition",
      "counting arguments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6578M"
    }
  }
}