Title
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
Rights
Copyright © 2008 Elsevier Inc. All rights reserved.
Recommended Citation
John W. Jones and David P. Roberts. Octic 2-adic fields. Journal of Number Theory 128 (2008), no. 6, 1410-1429.
Primo Type
Article
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