#13649: Implement sigma.domain() and sigma.codomain() for sigma a permutation
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       Reporter:  nthiery                |         Owner:  joyner      
           Type:  enhancement            |        Status:  needs_review
       Priority:  major                  |     Milestone:  sage-5.6    
      Component:  group theory           |    Resolution:              
       Keywords:  beginner, aggregation  |   Work issues:              
Report Upstream:  N/A                    |     Reviewers:              
        Authors:  Andrea Lazzarotto      |     Merged in:              
   Dependencies:                         |      Stopgaps:              
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Comment (by nthiery):

 Replying to [comment:8 kini]:
 > Does it really make sense to have a codomain for the permutation group
 itself? I can see why if you consider an individual permutation as a map,
 you might want to know its codomain, but the whole permutation group isn't
 a map. I can see why the group might have a "domain", since it's the
 underlying set of the standard group action, but that seems to be a bit
 different from the "domain of a function" usage.

 As far as I recall, Sage's Homsets have a domain and a codomain (which
 coincide for EndSets). The symmetric group is special case, and it would
 seem consistent to have this systematically for all sets of functions.

 Cheers,
                              Nicolas

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13649#comment:10>
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