Document Type

Conference Proceeding

Publication Date

2004

Publication Title

ANTS 2004: Algorithmic Number Theory

Abstract

We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the slopes measuring wild ramification. We present summarizing tables and a sample application to number fields.

First Page

293

Last Page

308

DOI

https://doi.org/10.1007/978-3-540-24847-7_22

Comments

This is a pre-publication version of an chapter published in ANTS VI: Algorithmic Number Theory (2004). The final authenticated version is available online at: https://doi.org/10.1007/978-3-540-24847-7_22

Rights

© Springer-Verlag Berlin Heidelberg 2004

Included in

Number Theory Commons

Share

COinS