#19737: SetPartition.to_permutation().cycle_tuples() is not the identity
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       Reporter:  mantepse           |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  combinatorics      |   Resolution:
       Keywords:  set partitions,    |    Merged in:
  permutations                       |    Reviewers:
        Authors:  Martin Rubey       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  c6a3939d2e18efe3906e1f959dc5c019c921a944
  u/mantepse/setpartition_to_permutation___cycle_tuples___is_not_the_identity|  
   Stopgaps:
   Dependencies:                     |
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Comment (by mantepse):

 I half-got it, but it looks more complicated.  Apparently, it is not
 possible to use the same parent.  Currently, there is a parent
 {{{SetPartitions}}} with element class {{{SetPartition}}}.  Of course, it
 would be desirable to make an instance of {{{IntegerSetPartition}}} also
 have parent {{{SetPartitions}}}, but I do not know how to do this yet.

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Ticket URL: <http://trac.sagemath.org/ticket/19737#comment:21>
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