Imaginary quadratic fields with Cl_2(k) = (2,2,2)
Number Theory
2007-05-23 v1
Abstract
In this article we classify the complex quadratic number fields k with 2-class group of type (2,2,2) whose Hilbert 2-class fields have a 2-class group of rank 2, and then determine the length of their 2-class field towers.
Cite
@article{arxiv.math/0207307,
title = {Imaginary quadratic fields with Cl_2(k) = (2,2,2)},
author = {Elliot Benjamin and Franz Lemmermeyer and Chip Snyder},
journal= {arXiv preprint arXiv:math/0207307},
year = {2007}
}