{
  "id": "1805.11690",
  "version": "v1",
  "published": "2018-05-21T23:25:25.000Z",
  "updated": "2018-05-21T23:25:25.000Z",
  "title": "On the total number of principal series of a finite abelian group",
  "authors": [
    "Lucian Bentea",
    "Marius Tărnăuceanu"
  ],
  "journal": "Sci. An. Univ. Ovidius Constan\\c{t}a, Ser. Mat. 18, No. 2, 41-52 (2010)",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this note we give a bijective proof for the explicit formula giving the total number of principal series of the direct product $\\mathbb{Z}_{p^{\\alpha_1}} \\times \\mathbb{Z}_{p^{\\alpha_2}}$, where $p$ is a prime number. This new proof is easier to generalize to arbitrary finite abelian groups than the original direct calculation method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-21T23:25:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "principal series",
      "total number",
      "original direct calculation method",
      "arbitrary finite abelian groups",
      "direct product"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}