#8500: Add the set of TransitiveGroups
-----------------------------+----------------------------------------------
   Reporter:  nborie         |       Owner:  nborie          
       Type:  enhancement    |      Status:  needs_work      
   Priority:  major          |   Milestone:  sage-4.3.4      
  Component:  group_theory   |    Keywords:  transitive group
     Author:  Nicolas Borie  |    Upstream:  N/A             
   Reviewer:                 |      Merged:                  
Work_issues:                 |  
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Changes (by newvalueoldvalue):

  * status:  needs_review => needs_work
  * author:  => Nicolas Borie


Comment:

 Wow,that was quick, thanks!

 I browsed through the patch, which looks good. Some minor comments before
 I do the final review:

  - Change "trac 8500 Add the finite enumerated set of TransitiveGroups" to
 "#8500 Add the enumerated set of TransitiveGroups"

  - Keep number_of_transitive_groups a private function (i.e. not in
 all.py)

  - TransitiveGroups() would better model the mathematical set of all
 transitive groups, even if this is only partially implemented. Hence
 TransitiveGroups() should be in InfiniteEnumeratedSets (and therefore
 TransitiveGroups().cardinality() will return infinity). As a side effect,
 the #long time should not be needed anymore for the
 TestSuite(TransitiveGroups()).run().

  - You may actually want to implement TransitiveGroups() as a
 DisjointUnionOfEnumeratedSets, which should essentially do all the work
 for you.

  -

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8500#comment:5>
Sage <http://www.sagemath.org>
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