{
  "id": "2002.11455",
  "version": "v1",
  "published": "2020-02-26T13:21:08.000Z",
  "updated": "2020-02-26T13:21:08.000Z",
  "title": "A bijection from a finite group to the cyclic group with a divisible property on the element orders",
  "authors": [
    "Mohsen Amiri"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "This paper proves that there exists a bijection $f$ from a finite group $G$ of order $n$ onto a cyclic group of order $n$ such that for each element $x\\in G$ the order of $x$ divides the order of $f(x)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-26T13:21:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite group",
      "cyclic group",
      "element orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}