{
  "id": "math/0207307",
  "version": "v1",
  "published": "2002-07-16T00:00:00.000Z",
  "updated": "2002-07-16T00:00:00.000Z",
  "title": "Imaginary quadratic fields with Cl_2(k) = (2,2,2)",
  "authors": [
    "Elliot Benjamin",
    "Franz Lemmermeyer",
    "Chip Snyder"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article we classify the complex quadratic number fields k with 2-class group of type (2,2,2) whose Hilbert 2-class fields have a 2-class group of rank 2, and then determine the length of their 2-class field towers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-16T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "imaginary quadratic fields",
      "complex quadratic number fields",
      "field towers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7307B"
    }
  }
}