#6124: Bug in galois_group of a p-adic field extension
--------------------------+-------------------------------------------------
    Reporter:  jlefebvre  |         Owner:  roed                          
        Type:  defect     |        Status:  closed                        
    Priority:  minor      |     Milestone:  sage-duplicate/invalid/wontfix
   Component:  padics     |    Resolution:  invalid                       
    Keywords:  p-adic     |   Work_issues:                                
    Upstream:  N/A        |      Reviewer:  David Roe                     
      Author:             |        Merged:                                
Dependencies:             |  
--------------------------+-------------------------------------------------
Changes (by jdemeyer):

  * status:  positive_review => closed
  * reviewer:  => David Roe
  * resolution:  => invalid


Old description:

> A bug in the implementation of p-adic groups.
>
> sage: K.<a> = Qp(2).extension(x^3 + x^2+1)
> sage: K.galois_group()
> ---------------------------------------------------------------------------
> ImportError                               Traceback (most recent call
> last)
>
> /Users/jeromelefebvre/.sage/temp/Jerome.local/23278/_Users_jeromelefebvre__sage_init_sage_0.py
> in <module>()
>
> /Applications/sage/local/lib/python2.5/site-
> packages/sage/rings/padics/unramified_extension_generic.pyc in
> galois_group(self)
>      96         ## doing this.
>      97         ##
> ---> 98         from sage.groups.perm_gps.permgroup import
> CyclicPermutationGroup
>      99         return CyclicPermutationGroup(self.modulus().degree())
>     100
>
> ImportError: cannot import name CyclicPermutationGroup
>

> While, CyclicPermutationGroup does work fine on my machine.
> sage: G=CyclicPermutationGroup(2)
> sage: G.list()
> [(), (1,2)]

New description:

 A bug in the implementation of p-adic groups.

 {{{
 sage: K.<a> = Qp(2).extension(x^3 + x^2+1)
 sage: K.galois_group()
 ---------------------------------------------------------------------------
 ImportError                               Traceback (most recent call
 last)

 
/Users/jeromelefebvre/.sage/temp/Jerome.local/23278/_Users_jeromelefebvre__sage_init_sage_0.py
 in <module>()

 /Applications/sage/local/lib/python2.5/site-
 packages/sage/rings/padics/unramified_extension_generic.pyc in
 galois_group(self)
      96         ## doing this.
      97         ##
 ---> 98         from sage.groups.perm_gps.permgroup import
 CyclicPermutationGroup
      99         return CyclicPermutationGroup(self.modulus().degree())
     100

 ImportError: cannot import name CyclicPermutationGroup
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6124#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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