Article ID Journal Published Year Pages File Type
4595106 Journal of Number Theory 2008 20 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory