{
  "id": "1203.6201",
  "version": "v2",
  "published": "2012-03-28T09:28:01.000Z",
  "updated": "2012-11-07T07:53:11.000Z",
  "title": "On the number of cyclic subgroups of a finite abelian group",
  "authors": [
    "László Tóth"
  ],
  "comment": "6 pages, revised, short form",
  "journal": "Bull. Math. Soc. Sci. Math. Roumanie 55(103) (2012), 423-428",
  "categories": [
    "math.GR",
    "math.NT"
  ],
  "abstract": "We prove by using simple number-theoretic arguments formulae concerning the number of elements of a fixed order and the number of cyclic subgroups of a direct product of several finite cyclic groups. We point out that certain multiplicative properties of related counting functions for finite Abelian groups are immediate consequences of these formulae.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-07T07:53:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20K01",
      "20K27",
      "11A25"
    ],
    "keywords": [
      "finite abelian group",
      "cyclic subgroups",
      "simple number-theoretic arguments formulae concerning",
      "finite cyclic groups",
      "direct product"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6201T"
    }
  }
}