Document Type

Article

Publication Date

6-2008

Publication Title

Journal of Number Theory

Abstract

We compute all octic extensions of Q2 and find that there are 1823 of them up to isomorphism. We compute the associated Galois group of each field, slopes measuring wild ramification, and other quantities. We present summarizing tables here with complete information available at our online database of local fields.

Volume

128

Issue

6

First Page

1410

Last Page

1429

DOI

https://doi.org/10.1016/j.jnt.2007.12.014

ISSN

0022-314X

Comments

This is a pre-publication version of an article published in Journal of Number Theory. The final authenticated version is available online at: https://doi.org/10.1016/j.jnt.2007.12.014

Rights

Copyright © 2008 Elsevier Inc. All rights reserved.

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