#16018: Symmetric group conjugacy class iterator
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:  Vincent Delecroix
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorics      |   Resolution:
       Keywords:  symmetric group,   |    Merged in:
  permutations, iterator             |    Reviewers:
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  1339080a3d55bd3116947ff49210b5deb9a053cd
  public/groups/conjugacy_classes_symmetric_group-16018|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by tscrim):

 Replying to [comment:6 vdelecroix]:
 > I do. Let me add it to the branch.

 Thanks.

 > > A question, do you think should we add similar methods to
 `Permutations_n`?
 >
 > I don't know. Most of the time I found that playing with classes makes
 life harder and I mostly program using tuple and/or lists (this is what my
 iterator is). One way to make it would be:
 > - have this iterator (somehow hidden) that output lists
 > - use it for both `SymmetricGroup` and `Permutations_n`
 >
 > What do you think?

 Well, I went ahead and played with classes. I implemented a class
 specifically for conjugacy classes of the symmetric group (in part for the
 future with implementing a direct computation of character tables directly
 in Sage, in part to override the behavior of `ConjugacyClassGap` and allow
 easier future refactoring). However I left your function as a low-level
 iterator.

 I'm leaning towards just leaving it until we consider `Partitions_n` as a
 group (at which time we'll be throwing a lot of functionality at it I
 think). I designed the current version with this in mind (that I didn't
 want to do this right now `:p`).

--
Ticket URL: <http://trac.sagemath.org/ticket/16018#comment:9>
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