{
  "id": "1507.00532",
  "version": "v1",
  "published": "2015-07-02T11:34:04.000Z",
  "updated": "2015-07-02T11:34:04.000Z",
  "title": "On the number of subgroups of a given exponent in a finite abelian group",
  "authors": [
    "Marius Tărnăuceanu",
    "László Tóth"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GR",
    "math.CO",
    "math.NT"
  ],
  "abstract": "This paper deals with the number of subgroups of a given exponent in a finite abelian group. Explicit formulas are obtained in the case of rank two and rank three abelian groups. A conjecture is also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-02T11:34:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20K01",
      "20K27",
      "11N37"
    ],
    "keywords": [
      "finite abelian group",
      "paper deals",
      "explicit formulas",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150700532T"
    }
  }
}