{
  "id": "1202.5778",
  "version": "v1",
  "published": "2012-02-26T16:38:37.000Z",
  "updated": "2012-02-26T16:38:37.000Z",
  "title": "Ideal class groups of cyclotomic number fields II",
  "authors": [
    "Franz Lemmermeyer"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large plus class numbers of cyclotomic fields. We also discuss capitulation of the minus part and the behaviour of p-class groups in cyclic ramified p-extensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-26T16:38:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R18"
    ],
    "keywords": [
      "cyclotomic number fields",
      "ideal class groups",
      "large plus class numbers",
      "cyclotomic fields",
      "maximal real subfields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5778L"
    }
  }
}