{
  "id": "0911.3022",
  "version": "v1",
  "published": "2009-11-16T12:28:18.000Z",
  "updated": "2009-11-16T12:28:18.000Z",
  "title": "Strong uniform expansion in $\\mathrm{SL}(2,p)$",
  "authors": [
    "Emmanuel Breuillard",
    "Alex Gamburd"
  ],
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "We show that there is an infinite set of primes $\\mathcal{P}$ of density one, such that the family of \\textit{all} Cayley graphs of $\\mathrm{SL}(2,p)$%, $p\\in \\mathcal{P}$, is a family of expanders.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-16T12:28:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong uniform expansion",
      "cayley graphs",
      "infinite set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.3022B"
    }
  }
}