#19573: Natural coercion from Integers(p*k) to GF(p) for prime p
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       Reporter:  switzel            |        Owner:
           Type:  PLEASE CHANGE      |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.10
      Component:  algebra            |   Resolution:
       Keywords:  coercion, rings    |    Merged in:
        Authors:  Stefan Witzel      |    Reviewers:  Jeroen Demeyer
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/switzel/natural_coercion_from_integers_p_l__to_gf_p__for_prime_p|  
449c826bda89aae879a81b9def76228397f0e4f1
   Dependencies:                     |     Stopgaps:
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Changes (by jdemeyer):

 * status:  needs_review => needs_work
 * reviewer:   => Jeroen Demeyer


Comment:

 1. I would put the test you added in the `EXAMPLES` block, not `TESTS`.

 2. Add a test showing that there is no coercion from `Integers(9)` to
 `GF(5)` for example.

 3. Ideally it would also work for non-prime finite fields: there should be
 coercion from `Integers(p*k)` to `GF(p^n)` (I'm not saying you must fix
 this on this ticket, it's just a suggestion).

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Ticket URL: <http://trac.sagemath.org/ticket/19573#comment:3>
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