#5844: [with patch, needs work] Improvement of
PermutationGroup_generic.has_element() and is_subgroup
--------------------------+-------------------------------------------------
 Reporter:  SimonKing     |       Owner:  SimonKing                             
  
     Type:  enhancement   |      Status:  new                                   
  
 Priority:  minor         |   Milestone:  sage-3.4.2                            
  
Component:  group_theory  |    Keywords:  PermutationGroup has_element 
is_subgroup
--------------------------+-------------------------------------------------

Comment(by SimonKing):

 OK, here is a second patch, to be applied after the first. With it, all
 above-mentioned doc tests pass. Now, {{{G.has_element(x)}}} just returns
 {{{x in G}}}

 Note that above I pointed out one difference between the old version of
 {{{has_element()}}} and {{{__contains__()}}}: In the old version,
 {{{G.has_element(1)}}} raised an error. Now, it does not, since
 {{{G.__contains__(1)}}} interpretes 1 as the trivial group element.

 But, as much as I understand, this is the only mathematical difference
 between the old and the new version.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5844#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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