{
  "id": "1602.01142",
  "version": "v1",
  "published": "2016-02-02T22:44:24.000Z",
  "updated": "2016-02-02T22:44:24.000Z",
  "title": "On expansions of the real field by complex subgroups",
  "authors": [
    "Erin Caulfield"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We construct a class of finite rank multiplicative subgroups of the complex numbers such that the expansion of the real field by such a group is model-theoretically well-behaved. As an application we show that a classification of expansions of the real field by cyclic multiplicative subgroups of the complex numbers due to Hieronymi does not even extend to expansions by subgroups with two generators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-02T22:44:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real field",
      "complex subgroups",
      "complex numbers",
      "finite rank multiplicative subgroups",
      "cyclic multiplicative subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160201142C"
    }
  }
}