#14291: Orbits of tuples and sets
---------------------------------+------------------------------------------
       Reporter:  ncohen         |         Owner:  joyner    
           Type:  enhancement    |        Status:  needs_work
       Priority:  major          |     Milestone:  sage-5.9  
      Component:  group theory   |    Resolution:            
       Keywords:                 |   Work issues:            
Report Upstream:  N/A            |     Reviewers:            
        Authors:  Nathann Cohen  |     Merged in:            
   Dependencies:                 |      Stopgaps:            
---------------------------------+------------------------------------------

Comment (by dimpase):

 Replying to [comment:10 ncohen]:
 > Some small modifications to the documentation. Besides this :
 >
 > 1) What would you think of making `supported_actions` a variable of the
 module itself ? And what of making it a hidden variable ?

 The current setup allows it to be extended by the user, right?

 >
 > 2) What would you think of sorting the input when it represents a set
 ?.. GAP's error message when it is fed with an unsorted list is not that
 clear :
 > {{{
 > Error, OnSets: <set> must be a set (not a list (plain,cyc,nsort,imm))
 > }}}
 >
 > I will do that if you agree with it.

 sure this can be done as you prefer. However, there is a more serious
 issue with {{{self.action}}}:
 {{{
 sage: G = PermutationGroup([ [('c','d')], [('a','c')] ])
 sage: xx=G.orbit(('a','c'),"OnPairs")
 sage: G.action(xx,"OnPairs")
 ---------------------------------------------------------------------------
 RuntimeError                              Traceback (most recent call
 last)
 <ipython-input-4-540be1338037> in <module>()
 ----> 1 G.action(xx,"OnPairs")
 ...
 }}}
 Indeed, {{{_domain_to_gap[x] }}} needs to be applied onto such orbits. I
 am thinking that one should have recursive function version of
 {{{_domain_to_gap[x] }}}  and of {{{_domain_from_gap[x] }}} to deal with
 things like sets, sets of sets, etc in one go rather
 than  call them explicitly.

 One can also (or instead) attach such a pair of functions to each action
 in {{{supported_actions}}} to do this rewriting.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14291#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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