#14319: Automorphism group with labeled vertices
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       Reporter:  ncohen                         |        Owner:  jason,
           Type:  enhancement                    |  ncohen, rlm
       Priority:  major                          |       Status:  closed
      Component:  graph theory                   |    Milestone:  sage-5.10
       Keywords:                                 |   Resolution:  fixed
        Authors:  Nathann Cohen                  |    Merged in:
Report Upstream:  N/A                            |  sage-5.10.beta2
         Branch:                                 |    Reviewers:  Volker
   Dependencies:  #14291, #14250, #14477,        |  Braun
  #14435                                         |  Work issues:
                                                 |       Commit:
                                                 |     Stopgaps:
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Comment (by nthiery):

 Replying to [comment:49 ncohen]:
 > Looks like I added you to the Cc when I created the ticket, though. And
 Florent, too.

 Sure, I take the blame for not spotting this and suggesting something
 different back then.

 > DUBIOUS ? Come on, it has no meaning whatsoever. Other than what
 "domain" returns.

 Yes it does! When the domain is 1...n it gives you the permutation in
 the usual list notation, which is a basic feature! And otherwise it
 still shows how the elements of the domain are permuted which is a
 worthwhile information; it does not seem ridiculous to me to do:

 {{{
 sage: for sigma in SymmetricGroup(['a','b','c']): print sigma.list()
 ['a', 'b', 'c']
 ['a', 'c', 'b']
 ['b', 'a', 'c']
 ['b', 'c', 'a']
 ['c', 'a', 'b']
 ['c', 'b', 'a']
 }}}

 If there is something to be contested it's that self.domain() returns
 the domain with its elements permuted; I would just return the domain
 of the parent (like other functions do in Sage).

--
Ticket URL: <http://trac.sagemath.org/ticket/14319#comment:50>
Sage <http://www.sagemath.org>
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