#16509: bug in .as_finite_field_element() when minimal=True
-------------------------------------+-------------------------------------
Reporter: vdelecroix | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: finite rings | Resolution:
Keywords: bug | Merged in:
Authors: Peter Bruin | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/pbruin/16509-as_finite_field_element|
5572837f991d5ed6a1674e009de8c38e0c3bbc7c
Dependencies: | Stopgaps:
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Comment (by mmarco):
I think that, the same way that there are "number fields with fixed
embeddings on QQbar", there should be "finite filed with fixed embeddings
on the algebraic closure". That way
{{{
sage: K = GF(5).algebraic_closure()
sage: K3 = K.subfield(3)[0]
sage: K6 = K.subfield(6)[0] # not used
sage: K3.gen()
z3
sage: K6(K3.gen())
Traceback (most recent call last):
...
TypeError: unable to coerce from a finite field other than the prime
subfield
}}}
Could be made to work and also make mathematical sense.
--
Ticket URL: <http://trac.sagemath.org/ticket/16509#comment:10>
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