{
  "id": "math/0502374",
  "version": "v2",
  "published": "2005-02-17T17:09:55.000Z",
  "updated": "2005-12-06T08:54:10.000Z",
  "title": "Sum-free set in finite abelian groups",
  "authors": [
    "R. Balasubramanian",
    "Gyan Prakash"
  ],
  "comment": "22 pages, no figures, some corrections made, expanded exposition, a minor remars on k-l free sets added, bibliography updated",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. In this paper we shall characterise the largest possible sum-free subsets of G in case the order of G is only divisible by primes which are congruent to 1 modulo 3. The result is based on a recent result of Ben Green and Imre Ruzsa.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-06T08:54:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite abelian group",
      "sum-free set",
      "sum-free subsets",
      "ben green",
      "imre ruzsa"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2374B"
    }
  }
}