#5159: [with new patch, positve review] Add functionality to Galois groups
---------------------------+------------------------------------------------
 Reporter:  davidloeffler  |       Owner:  davidloeffler               
     Type:  enhancement    |      Status:  assigned                    
 Priority:  major          |   Milestone:  sage-3.4.2                  
Component:  number theory  |    Keywords:  galois groups, number theory
---------------------------+------------------------------------------------

Comment(by cremona):

 Good news: this patch applies fine on top of sage-5508.2.patch.

 I am very happy with this patch which provides a significant new set of
 functions and capabilities.  I did have two trivial doctest failures, in
 two files, nothing serious:
 {{{
 sage -t
 "local/sage-3.4/devel/sage-5159/sage/rings/number_field//number_field.py"
 **********************************************************************
 File
 
"/home/masgaj/local/sage-3.4/devel/sage-5159/sage/rings/number_field/number_field.py",
 line 3067:
     sage: G = k.galois_group(names='c'); G
 Expected:
     Galois group of Number Field in b with defining polynomial x^3 - x + 1
 Got:
     Galois group of Galois closure in c of Number Field in b with defining
 polynomial x^3 - x + 1

   ***   Warning: large Minkowski bound: certification will be VERY long.
   ***   Warning: large Minkowski bound: certification will be VERY long.
 *********************************************************************
 }}}

 and

 {{{
 sage -t
 "local/sage-3.4/devel/sage-5159/sage/rings/number_field//galois_group.py"
 **********************************************************************
 File
 
"/home/masgaj/local/sage-3.4/devel/sage-5159/sage/rings/number_field/galois_group.py",
 line 479:
     sage: from sage.rings.number_field.galois_group_new import
 GaloisGroup_subgroup
 Exception raised:
     Traceback (most recent call last):
       File "/home/masgaj/local/sage-3.4/local/bin/ncadoctest.py", line
 1231, in run_one_test
         self.run_one_example(test, example, filename, compileflags)
       File "/home/masgaj/local/sage-3.4/local/bin/sagedoctest.py", line
 38, in run_one_example
         OrigDocTestRunner.run_one_example(self, test, example, filename,
 compileflags)
       File "/home/masgaj/local/sage-3.4/local/bin/ncadoctest.py", line
 1172, in run_one_example
         compileflags, 1) in test.globs
       File "<doctest __main__.example_24[2]>", line 1, in <module>
         from sage.rings.number_field.galois_group_new import
 GaloisGroup_subgroup###line 479:
     sage: from sage.rings.number_field.galois_group_new import
 GaloisGroup_subgroup
     ImportError: No module named galois_group_new
 *******************************************************************
 }}}

 I have put up a small patch which fixes these, so it can have a positive
 review.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5159#comment:10>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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