#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):

 Replying to [comment:3 wdj]:
 > I got doc-test failures in these modules:
 > ...

 Here is the reason:

 {{{G.has_element()}}} first turns the input {{{item}}} into a
 {{{PermutationGroupElement}}} with parent {{{G}}}, using
 {{{check=False}}}. So, from now on, the parent of {{{item}}} is {{{G}}}.

 The old version then tests if it is contained in the list of elements. The
 new version tests whether {{{item in G}}}. The problem is that {{{item in
 G}}} just tries {{{PermutationGroupElement(item,G,check=True)}}} -- if
 there is an error then False is returned.

 But at that point, the parent of {{{item}}} is {{{G}}}, hence,
 {{{PermutationGroupElement(item,G,check=True)}}} does not raise an error,
 and True is returned!

 Anyway. What was the reason to implement {{{has_element}}}? What is the
 purpose of it, in contrast to {{{__contains__}}}?

 If both are just tests for containment then {{{has_element}}} should be
 removed, respectively should be an alias for {{{__contains__}}}.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5844#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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