{
  "id": "math/0608534",
  "version": "v2",
  "published": "2006-08-22T07:03:52.000Z",
  "updated": "2008-01-29T11:48:23.000Z",
  "title": "On Automorphisms of Finite $p$-groups",
  "authors": [
    "Manoj K. Yadav"
  ],
  "comment": "Appeared in Journal of Group Theory",
  "journal": "J. Group Theory, Vol. 10 (2007), 859-866",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a finite $p$-group such that $x\\Z(G) \\subseteq x^G$ for all $x \\in G- \\Z(G)$, where $x^G$ denotes the conjugacy class of $x$ in $G$. Then $|G|$ divides $|\\Aut(G)|$, where $\\Aut(G)$ is the group of all automorphisms of $G$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-29T11:48:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D45",
      "20D15"
    ],
    "keywords": [
      "automorphisms",
      "conjugacy class"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8534Y"
    }
  }
}