{
  "id": "1012.3819",
  "version": "v3",
  "published": "2010-12-17T07:29:15.000Z",
  "updated": "2011-10-06T08:40:48.000Z",
  "title": "Hemisystems of small flock generalized quadrangles",
  "authors": [
    "John Bamberg",
    "Michael Giudici",
    "Gordon F. Royle"
  ],
  "comment": "slight revisions made following referee's reports, and included raw data",
  "doi": "10.1007/s10623-011-9591-0",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we describe a complete computer classification of the hemisystems in the two known flock generalized quadrangles of order $(5^2,5)$ and give numerous further examples of hemisystems in all the known flock generalized quadrangles of order $(s^2,s)$ for $s \\le 11$. By analysing the computational data, we identify two possible new infinite families of hemisystems in the classical generalized quadrangle $H(3,q^2)$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-10-06T08:40:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25"
    ],
    "keywords": [
      "small flock generalized quadrangles",
      "hemisystems",
      "complete computer classification",
      "computational data",
      "infinite families"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3819B"
    }
  }
}