Hilbert 2-Class Fields and 2-Descent
Number Theory
2012-02-27 v1
Abstract
We give a construction of unramified cyclic octic extensions of certain complex quadratic number fields. The binary quadratic form used in this construction also shows up in the theory of 2-descents on Pell conics and elliptic curves, as well as in the explicit description of cyclic quartic extensions.
Cite
@article{arxiv.1202.5515,
title = {Hilbert 2-Class Fields and 2-Descent},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:1202.5515},
year = {2012}
}