{
  "id": "1505.05143",
  "version": "v1",
  "published": "2015-05-19T20:00:26.000Z",
  "updated": "2015-05-19T20:00:26.000Z",
  "title": "Divisibility of binomial coefficients and generation of alternating groups",
  "authors": [
    "John Shareshian",
    "Russ Woodroofe"
  ],
  "comment": "16 pages, 1 figure; ancillary attachments include computer code and output",
  "categories": [
    "math.CO",
    "math.GR",
    "math.NT"
  ],
  "abstract": "We examine an elementary problem on prime divisibility of binomial coefficients. Our problem is motivated by several related questions on alternating groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-19T20:00:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "05E15",
      "20B30",
      "11B65"
    ],
    "keywords": [
      "binomial coefficients",
      "alternating groups",
      "generation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150505143S"
    }
  }
}