#14990: Implement algebraic closures of finite fields
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Reporter: pbruin | Owner:
Type: enhancement | Status:
Priority: major | needs_review
Component: algebra | Milestone: sage-5.13
Keywords: finite field algebraic | Resolution:
closure | Merged in:
Authors: Peter Bruin | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #14958, #13214 | Stopgaps:
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Comment (by vdelecroix):
Replying to [comment:15 pbruin]:
> Replying to [comment:12 vdelecroix]:
> > Replying to [comment:11 pbruin]:
> > > Thanks to you all for the comments. I haven't got a lot of time at
the moment, but hope to get back to this ticket soon. In the meantime,
feel free to continue suggesting improvements or implementing them
yourselves. 8-)
> >
> > Thanks. I am happy to work on this (I already implements the remarks I
made). Is that ok if I switch to the git workflow ?
> I haven't done any development with Sage+Git before (only uploaded an
SSH key and installed Sage using Git), but I'll start trying it out. Once
I get some facility in using it, I won't mind if this will become a Git
ticket.
Hi Peter,
I switch to git only recently and it is not easy to go from git to patches
(the other way around is quite easy using the sage dev scripts). I
modified several things from your patch, in particular: algebraic_closure
now works without argument (the name is 'z' by default). I think that I
will modify the following two problems
- .is_finite() fails on GF(3).algebraic_closure() (raise a
NotImplementedError). On the other hand it will be fixed with the new
category schemes which allows Field().infinite())
- Zmod(3) does not support algebraic_closure()
From the last version #15390 (roots of polynomial and eigenvalues) works
nicely !
Your work is really nice!
Cheers,
Vincent
--
Ticket URL: <http://trac.sagemath.org/ticket/14990#comment:16>
Sage <http://www.sagemath.org>
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