{
  "id": "1101.2503",
  "version": "v3",
  "published": "2011-01-13T08:49:18.000Z",
  "updated": "2013-11-02T17:07:42.000Z",
  "title": "On the Order of the Schur Multiplier of a Pair of Finite p-Groups",
  "authors": [
    "Azam Hokmabadi",
    "Fahimeh Mohammadzadeh",
    "Behrooz Mashayekhy"
  ],
  "comment": "11 pages, to appear in Journal of Advanced Research in Pure Mathematics",
  "doi": "10.5373/jarpm",
  "categories": [
    "math.GR"
  ],
  "abstract": "In 1998, G. Ellis defined the Schur multiplier of a pair $(G,N)$ of groups and mentioned that this notion is a useful tool for studying pairs of groups. In this paper, we characterize the structure of a pair of finite $p$-groups $(G,N)$ in terms of the order of the Schur multiplier of $(G,N)$ under some conditions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-02T17:07:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E34",
      "20D15"
    ],
    "keywords": [
      "schur multiplier",
      "finite p-groups",
      "useful tool",
      "studying pairs"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}