#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:                     |  e32c6d00a732658dc27be760a4ae83f446ae0b76
  public/groups/conjugacy_classes_symmetric_group-16018|     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 Replying to [comment:5 tscrim]:
 > Ah, so the description should have been something like:
 >
 > Using the underlying GAP commands it takes forever to iterate over ''a
 conjugacy class'' of the Symmetric group. In this ticket we implement a
 very simple and very naive one that does the job.
 >
 > I'd definitely like to speed that up as well. Do you have that code to
 iterate over a particular conjugacy class? I'm happy to add that onto here
 and review it.

 I do. Let me add it to the branch.

 > 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?

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/16018#comment:6>
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