#10335: Add domains for permutation groups
--------------------------------------------+-------------------------------
    Reporter:  mhansen                      |         Owner:  joyner            
                                         
        Type:  enhancement                  |        Status:  needs_review      
                                         
    Priority:  major                        |     Milestone:  sage-4.7.2        
                                         
   Component:  group theory                 |    Resolution:                    
                                         
    Keywords:  sd31                         |   Work_issues:                    
                                         
    Upstream:  N/A                          |      Reviewer:  Robert Miller, 
Rob Beezer, Nicolas Borie, Nicolas M. ThiƩry
      Author:  Mike Hansen, David Loeffler  |        Merged:                    
                                         
Dependencies:  #10334                       |  
--------------------------------------------+-------------------------------
Changes (by davidloeffler):

  * status:  needs_work => needs_review


Old description:

> Often, one wants to define a permutation group on a set other than {{{
> {1,2,...,n} }}} such as say {{{ {'a', 'b', 'c', 'd'} }}}.
>
> For example,
>
> {{{
> sage: G = PermutationGroup([ [('c','d')], [('a','c')] ])
> sage: G.orbit('a')
> ['a', 'c', 'd']
> }}}
>
> '''Apply:'''
>   1.  [attachment:trac_10335-permgroup_domain-mh.patch]
>   1.  [attachment:trac_10335-permgroup_domain-import_loop_fix-nt.patch]
>   1.  [attachment:trac_10335-tutorial-languages-fixes.patch]
>   1.  [attachment:trac_10335-solaris_issue.patch]
>   1.  [attachment:trac_10335-updates.patch]

New description:

 Often, one wants to define a permutation group on a set other than {{{
 {1,2,...,n} }}} such as say {{{ {'a', 'b', 'c', 'd'} }}}.

 For example,

 {{{
 sage: G = PermutationGroup([ [('c','d')], [('a','c')] ])
 sage: G.orbit('a')
 ['a', 'c', 'd']
 }}}

 '''Apply:'''
   1.  [attachment:trac_10335-permgroup_domain-rebase.patch]

--

Comment:

 I had a few minutes free this afternoon, so I've done a rebased patch
 myself. This is just the existing patches rebased and folded, but with the
 doctest in {{{permgroup.py}}} marked as random rather than deleted, and
 with examples of the output I got on a Linux and a Solaris machine.

 Rob: any chance you could review this? Apologies if you'd already started
 rebasing this yourself as per our earlier agreement -- in that case feel
 free to ignore my patch and I'll review yours.

 Leif: you might be interested to hear that this prerelease builds and
 passes long doctests without problems on my 64-bit Linux machine -- no
 numerical noise or anything like that.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10335#comment:61>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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