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.
Original language | English (US) |
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Pages (from-to) | 293-308 |
Number of pages | 16 |
Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
Volume | 3076 |
State | Published - Dec 1 2004 |
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science