{
  "id": "1202.1816",
  "version": "v1",
  "published": "2012-02-08T20:52:07.000Z",
  "updated": "2012-02-08T20:52:07.000Z",
  "title": "The Cauchy-Davenport Theorem for Finite Groups",
  "authors": [
    "Jeffrey Paul Wheeler"
  ],
  "comment": "11 pages with references",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Cauchy-Davenport theorem states that for any two nonempty subsets A and B of Z/pZ we have |A+B| >= min{p,|A|+|B|-1}, where A+B:={a+b (mod p) | a in A, b in B}. We generalize this result from Z/pZ to arbitrary finite (including non-abelian) groups. This result from early in 2006 is independent of Gyula Karolyi's 2005 result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-08T20:52:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P99",
      "05E15",
      "20D60"
    ],
    "keywords": [
      "finite groups",
      "cauchy-davenport theorem states",
      "gyula karolyis",
      "nonempty subsets",
      "arbitrary finite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1816W"
    }
  }
}