{
  "id": "1306.1219",
  "version": "v1",
  "published": "2013-06-05T19:51:13.000Z",
  "updated": "2013-06-05T19:51:13.000Z",
  "title": "The probability that a character value is zero for the symmetric group",
  "authors": [
    "Alexander R. Miller"
  ],
  "comment": "3 pages",
  "categories": [
    "math.GR",
    "math.CO",
    "math.PR"
  ],
  "abstract": "We consider random character values X(g) of the symmetric group on n symbols, where X is chosen at random from the set of irreducible characters and g is chosen at random from the group, and we show that X(g)=0 with probability tending to one as n tends to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-05T19:51:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric group",
      "probability",
      "random character values",
      "irreducible characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.1219M"
    }
  }
}