{
  "id": "0910.5402",
  "version": "v4",
  "published": "2009-10-28T15:12:03.000Z",
  "updated": "2012-11-29T09:36:46.000Z",
  "title": "New Beauville surfaces and finite simple groups",
  "authors": [
    "Shelly Garion",
    "Matteo Penegini"
  ],
  "comment": "v4: 18 pages. Final version, to appear in Manuscripta Math",
  "categories": [
    "math.GR",
    "math.AG"
  ],
  "abstract": "In this paper we construct new Beauville surfaces with group either $\\PSL(2,p^e)$, or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer, Catanese and Grunewald. The proofs rely on probabilistic group theoretical results of Liebeck and Shalev, on classical results of Macbeath and on recent results of Marion.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-11-29T09:36:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10",
      "14J29",
      "20D06",
      "20H10",
      "30F99"
    ],
    "keywords": [
      "finite simple groups",
      "beauville surfaces",
      "probabilistic group theoretical results",
      "low lie rank",
      "symmetric group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5402G"
    }
  }
}