Mixed degree number field computations
Number Theory
2016-11-11 v2
Abstract
We present a method for computing complete lists of number fields in cases where the Galois group, as an abstract group, appears as a Galois group in smaller degree. We apply this method to find the twenty-five octic fields with Galois group and smallest absolute discriminant. We carry out a number of related computations, including determining the octic field with Galois group of smallest absolute discriminant.
Cite
@article{arxiv.1602.09119,
title = {Mixed degree number field computations},
author = {John W. Jones and David P. Roberts},
journal= {arXiv preprint arXiv:1602.09119},
year = {2016}
}