{
  "id": "1109.0754",
  "version": "v3",
  "published": "2011-09-04T20:13:50.000Z",
  "updated": "2011-11-17T08:30:35.000Z",
  "title": "Groups of Order 2048 with Three Generators and Three Relations",
  "authors": [
    "Shirin Fouladi",
    "Reza Orfi"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "It is shown that there are exactly seventy-eight 3-generator 2- groups of order 2^11 with trivial Schur multiplier. We then give 3-generator, 3-relation presentations for forty-eight of them proving that these groups have deficiency zero.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-17T08:30:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generators",
      "trivial schur multiplier",
      "deficiency zero",
      "presentations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.0754F"
    }
  }
}