{
  "id": "1605.01849",
  "version": "v1",
  "published": "2016-05-06T07:43:12.000Z",
  "updated": "2016-05-06T07:43:12.000Z",
  "title": "Classification of p-groups by their Schur multiplier",
  "authors": [
    "Sumana Hatui"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a non-abelian $p$-group of order $p^n$ and $M(G)$ be its Schur multiplier. It is well known result by Green that $|M(G)| \\leq p^{\\frac{1}{2}n(n-1)}$. So $|M(G)|= p^{\\frac{1}{2}n(n-1)-t(G)}$ for $t(G) \\geq 0$. The groups has already been classified for $t(G) \\leq 5$ by several authors. In this paper the classification of groups $G$ is determined for $t(G) = 6$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-06T07:43:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D15",
      "20E34"
    ],
    "keywords": [
      "schur multiplier",
      "classification",
      "non-abelian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}