{
  "id": "0910.5489",
  "version": "v2",
  "published": "2009-10-28T20:40:52.000Z",
  "updated": "2009-11-13T00:38:42.000Z",
  "title": "Beauville surfaces and finite groups",
  "authors": [
    "Yolanda Fuertes",
    "Gareth Jones"
  ],
  "comment": "18 pages. Second version acknowledges overlap with work of Garion and Penegini (arXiv:0910.5402) and corrects statements of results about linear groups over small fields",
  "categories": [
    "math.GR",
    "math.AG"
  ],
  "abstract": "Extending results of Bauer, Catanese and Grunewald, and of Fuertes and Gonz\\'alez-Diez, we show that Beauville surfaces of unmixed type can be obtained from the groups L_2(q) and SL_2(q) for all prime powers q>5, and the Suzuki groups Sz(2^e) and the Ree groups R(3^e) for all odd e>1. We also show that L_2(q) and SL_2(q) admit strongly real Beauville structures, yielding real Beauville surfaces, if and only if q>5.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-13T00:38:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D06",
      "14J29",
      "30F10"
    ],
    "keywords": [
      "finite groups",
      "admit strongly real beauville structures",
      "yielding real beauville surfaces",
      "suzuki groups",
      "prime powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5489F"
    }
  }
}