{
  "id": "1602.04241",
  "version": "v1",
  "published": "2016-01-26T16:54:51.000Z",
  "updated": "2016-01-26T16:54:51.000Z",
  "title": "The Ubiquity of Sidon Sets That Are Not $I_0$",
  "authors": [
    "Kathryn E. Hare",
    "L. Thomas Ramsey"
  ],
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We prove that every infinite, discrete abelian group admits a pair of $I_0$ sets whose union is not $I_0$. In particular, this implies that every such group contains a Sidon set that is not $I_{0}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-26T16:54:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A46"
    ],
    "keywords": [
      "sidon set",
      "discrete abelian group admits",
      "group contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204241H"
    }
  }
}