{
  "id": "1803.07853",
  "version": "v1",
  "published": "2018-03-21T10:58:23.000Z",
  "updated": "2018-03-21T10:58:23.000Z",
  "title": "On automorphisms of finite $p$-groups",
  "authors": [
    "Hemant Kalra",
    "Deepak Gumber"
  ],
  "comment": "3 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "It is proved in [J. Group Theory, {\\bf 10} (2007), 859-866] that if $G$ is a finite $p$-group such that $(G,Z(G))$ is a Camina pair, then $|G|$ divides $|\\Aut(G)|$. We give a very short and elementary proof of this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-21T10:58:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20D45"
    ],
    "keywords": [
      "automorphisms",
      "group theory",
      "camina pair"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}