{
  "id": "1303.3053",
  "version": "v1",
  "published": "2013-03-12T23:13:16.000Z",
  "updated": "2013-03-12T23:13:16.000Z",
  "title": "Inverse problems in Additive Number Theory and in Non-Abelian Group Theory",
  "authors": [
    "G. A. Freiman",
    "M. Herzog",
    "P. Longobardi",
    "M. Maj",
    "Y. V. Stanchescu"
  ],
  "comment": "31 pages",
  "categories": [
    "math.NT",
    "math.CO",
    "math.GR"
  ],
  "abstract": "The aim of this paper is threefold: a) Finding new direct and inverse results in the additive number theory concerning Minkowski sums of dilates. b) Finding a connection between the above results and some direct and inverse problems in the theory of Baumslag-Solitar (non-abelian) groups. c) Solving certain inverse problems in Baumslag-Solitar groups or monoids, assuming appropriate small doubling properties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-12T23:13:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P70",
      "11B30",
      "20F05",
      "20F99",
      "11B13",
      "05E99"
    ],
    "keywords": [
      "additive number theory",
      "non-abelian group theory",
      "inverse problems",
      "appropriate small doubling properties",
      "number theory concerning minkowski sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3053F"
    }
  }
}