{
  "id": "1605.00193",
  "version": "v1",
  "published": "2016-05-01T00:56:43.000Z",
  "updated": "2016-05-01T00:56:43.000Z",
  "title": "On the number of cyclic subgroup in finite groups",
  "authors": [
    "Wei Zhou"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We study the number of cylic subgroups in finite groups and get that $G$ has $|G|-3$ cyclic subgroups if and only if $G \\cong D_{10}$ or $Q_8$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-01T00:56:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20D25"
    ],
    "keywords": [
      "cyclic subgroup",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160500193Z"
    }
  }
}