{
  "id": "1308.3769",
  "version": "v1",
  "published": "2013-08-17T09:36:19.000Z",
  "updated": "2013-08-17T09:36:19.000Z",
  "title": "Bounded quotients of the fundamental group of a random 2-complex",
  "authors": [
    "Roy Meshulam"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let D denote the (n-1)-dimensional simplex. Let Y be a random 2-dimensional subcomplex of D obtained by starting with the full 1-skeleton of D and then adding each 2-simplex independently with probability p. For a fixed c>0 it is shown that if p=\\frac{(6+7c) \\log n}{n} then a.a.s. the fundamental group \\pi(Y) does not have a nontrivial quotient of order at most n^c.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-17T09:36:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U10",
      "05C80"
    ],
    "keywords": [
      "fundamental group",
      "bounded quotients",
      "nontrivial quotient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.3769M"
    }
  }
}