Document Type

Article

Publication Date

10-2018

Embargo Period

10-2019

Publication Title

The Ramanujan Journal

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 25 octic fields with Galois group PSL₂(7) and smallest absolute discriminant. We carry out a number of related computations, including determining the octic field with Galois group 2³:GL₃(2) of smallest absolute discriminant.

Volume

47

Issue

1

First Page

47

Last Page

66

DOI

https://doi.org/10.1007/s11139-018-0024-9

ISSN

1572-9303

Comments

This is a pre-print of an article published in The Ramanujan Journal. The final authenticated version is available online at: https://doi.org/10.1007/s11139-018-0024-9

Rights

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Available for download on Tuesday, October 01, 2019

Included in

Mathematics Commons

Share

COinS