{
  "id": "1003.0982",
  "version": "v1",
  "published": "2010-03-04T08:17:05.000Z",
  "updated": "2010-03-04T08:17:05.000Z",
  "title": "Classifying $p$-groups via their multiplier",
  "authors": [
    "Peyman Niroomand"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "The author in $($On the order of Schur multiplier of non-abelian $p$-groups. J. Algebra (2009).322: 4479--4482$)$ showed that for any $p$-group $G$ of order $p^n$ there exists a nonnegative integer $s(G)$ such that the order of Schur multiplier of $G$ is equal to $p^{\\f{1}{2}(n-1)(n-2)+1-s(G)}$. Furthermore, he characterized the structure of all non-abelian $p$-groups $G$ when $s(G)=0$. The present paper is devoted to characterization of all $p$-groups when $s(G)=2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-04T08:17:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20E34"
    ],
    "keywords": [
      "schur multiplier",
      "classifying",
      "non-abelian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.0982N"
    }
  }
}