#14824: Frobenius endomorphism over p-adics
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Reporter: caruso | Owner: roed
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.12
Component: padics | Keywords: padics, Frobenius
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Xavier Caruso
Merged in: | Dependencies:
Stopgaps: |
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This patch provides a method {{{frobenius_endomorphism}}} which returns
the Frobenius endomorphism of a p-adic field.
Here is a small demo:
{{{
sage: K.<a> = Qq(5^3)
sage: Frob = K.frobenius_endomorphism()
sage: Frob
Frobenius endomorphism on Unramified Extension of 5-adic ... lifting a
|--> a^5 on the residue field
sage: Frob^12
Identity endomorphism of Unramified Extension of 5-adic Field ...
sage: Frob(a) = a.frobenius()
True
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14824>
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