#9390: is_galois_relative() not always right
------------------------------+---------------------------------------------
   Reporter:  arminstraub     |       Owner:  davidloeffler   
       Type:  defect          |      Status:  needs_review    
   Priority:  major           |   Milestone:  sage-4.6.1      
  Component:  number fields   |    Keywords:  galois extension
     Author:  Francis Clarke  |    Upstream:  N/A             
   Reviewer:  Marco Streng    |      Merged:                  
Work_issues:                  |  
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Changes (by fwclarke):

  * status:  needs_work => needs_review


Comment:

 Replying to [comment:4 mstreng]:

 > I think it would be better to put your new code in `is_galois` of
 absolute fields instead of `is_galois_absolute` of relative fields. Then
 `is_galois_absolute()` can simply call `self.absolute_field().is_galois()`

 I've done this in a new replacement patch, and dealt with the grammatical
 point you raised.

 It was also necessary to make a minor change to an unconnected doctest.
  This is because of PARI's inconsistent behaviour when choosing ideal
 generators.  The same issue arose in #5842.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9390#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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