{
  "id": "1108.6213",
  "version": "v1",
  "published": "2011-08-31T12:55:43.000Z",
  "updated": "2011-08-31T12:55:43.000Z",
  "title": "Relations in the 2-Class Group of Quadratic Number Fields",
  "authors": [
    "Franz Lemmermeyer"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct a family of ideals representing ideal classes of order 2 in quadratic number fields and show that relations between their ideal classes are governed by certain cyclic quartic extensions of the rationals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-31T12:55:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R11"
    ],
    "keywords": [
      "quadratic number fields",
      "ideals representing ideal classes",
      "cyclic quartic extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.6213L"
    }
  }
}