English

On 2-Class field towers of some imaginary quadratic number fields

Number Theory 2013-10-25 v1

Abstract

We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2,2,2) whose Hilbert 2-class fields are finite.

Keywords

Cite

@article{arxiv.1310.6589,
  title  = {On 2-Class field towers of some imaginary quadratic number fields},
  author = {Franz Lemmermeyer},
  journal= {arXiv preprint arXiv:1310.6589},
  year   = {2013}
}