Opened 7 years ago
Last modified 4 weeks ago
#20266 new enhancement
Galois conjugates for elements in extension of p-adics
Reported by: | wuthrich | Owned by: | |
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Priority: | minor | Milestone: | |
Component: | padics | Keywords: | padicIMA, padicBordeaux |
Cc: | David Roe | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
It would be nice to have Galois conjugates for elements in finite extensions of Q_p.
E.g.
sage: R.<X> = Qp(3,20)[] sage: K.<t> = Qp(3,20).extension(X^2-3) sage: t.galois_conjugates()
should return [t,-t].
It is also not clear if the minimal polynomial of t is best over the field K, so x-t, rather than over the base field Q_p, i.e. x^2-3
.
Change History (3)
comment:1 Changed 5 years ago by
Keywords: | padicIMA added |
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comment:2 Changed 3 years ago by
Keywords: | padicBordeaux added |
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comment:3 Changed 4 weeks ago by
Milestone: | sage-7.2 |
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