#13214: Frobenius endomorphism over finite fields
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       Reporter:  caruso                   |         Owner:  AlexGhitza     
           Type:  enhancement              |        Status:  needs_review   
       Priority:  major                    |     Milestone:  sage-5.11      
      Component:  basic arithmetic         |    Resolution:                 
       Keywords:  frobenius finite fields  |   Work issues:  does not build 
Report Upstream:  N/A                      |     Reviewers:  Paul Zimmermann
        Authors:  Xavier Caruso            |     Merged in:                 
   Dependencies:  #13184                   |      Stopgaps:                 
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Changes (by pbruin):

 * cc: pbruin (added)


Comment:

 This looks interesting.  One question at the moment: it does not appear to
 relate to the functionality that currently exists.  Is that intentional?
 I can already type, for example,
 {{{
 sage: F9.<a>=GF(3^2)
 sage: F81.<b>=GF(3^4)
 sage: f=F9.hom((b^10,))
 sage: f
 Ring morphism:
   From: Finite Field in a of size 3^2
   To:   Finite Field in b of size 3^4
   Defn: a |--> 2*b^3 + 2*b^2 + 1
 sage: f(a^2+a)
 b^3 + b^2
 sage: type(f)
 <class 'sage.rings.finite_rings.homset.FiniteFieldHomomorphism_im_gens'>
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13214#comment:25>
Sage <http://www.sagemath.org>
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