{
  "id": "1510.02014",
  "version": "v1",
  "published": "2015-10-07T16:31:41.000Z",
  "updated": "2015-10-07T16:31:41.000Z",
  "title": "A bound on element orders in the holomorph of a finite group",
  "authors": [
    "Alexander Bors"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a finite group. We prove a theorem implying that the orders of elements of the holomorph $\\operatorname{Hol}(G)$ are bounded from above by $|G|$, and we discuss an application to bounding automorphism orders of finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T16:31:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C25",
      "20D05",
      "20D45"
    ],
    "keywords": [
      "finite group",
      "element orders",
      "bounding automorphism orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002014B"
    }
  }
}