Title
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
Rights
© Springer-Verlag Berlin Heidelberg 2004
Recommended Citation
John W. Jones and David P. Roberts. Nonic 3-adic Fields. In ANTS VI: Algorithmic Number Theory. Berlin: Springer (2004), 293-308.
Primo Type
Conference Proceeding
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