{
  "id": "1206.3966",
  "version": "v3",
  "published": "2012-06-18T15:25:57.000Z",
  "updated": "2013-09-26T17:59:17.000Z",
  "title": "The inverse Erdos-Heilbronn Problem for restricted set addition in finite groups",
  "authors": [
    "Suren Jayasuriya",
    "Steve Reich",
    "Jeffrey Paul Wheeler"
  ],
  "comment": "Embarrassingly overlooked that we did not violate the extra conditions in Vosper's Theorem. There will be a followup paper we will title \"On the inverse Erdos-Heilbronn problem for restricted set addition in finite groups\"",
  "categories": [
    "math.CO"
  ],
  "abstract": "We provide a survey of results concerning both the direct and inverse problems to the Cauchy-Davenport theorem and Erdos-Heilbronn problem in Additive Combinatorics. We prove a slight extension to an inverse theorem of Dias da Silva-Hamidoune in Z/pZ, and we present a counterexample to an open conjecture concerning the inverse Erdos-Heilbronn problem in nonabelian groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-09-26T17:59:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P99",
      "05E15",
      "20D60"
    ],
    "keywords": [
      "inverse erdos-heilbronn problem",
      "restricted set addition",
      "finite groups",
      "dias da silva-hamidoune",
      "open conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.3966J"
    }
  }
}