English

Ideal class groups of cyclotomic number fields II

Number Theory 2012-02-28 v1

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.

Keywords

Cite

@article{arxiv.1202.5778,
  title  = {Ideal class groups of cyclotomic number fields II},
  author = {Franz Lemmermeyer},
  journal= {arXiv preprint arXiv:1202.5778},
  year   = {2012}
}
R2 v1 2026-06-21T20:25:17.613Z