#13250: Additional poset examples
-------------------------------------+-------------------------------------
       Reporter:  csar               |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.1
      Component:  combinatorics      |   Resolution:
       Keywords:  sd40, posets       |    Merged in:
        Authors:  Alex Csar,         |    Reviewers:  Jori Mäntysalo,
  Frédéric Chapoton                  |  Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/additional_poset_examples-13250|  
5923682cfc6315d0dab08c44eb97608431d7b2e0
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * reviewer:  Jori Mäntysalo => Jori Mäntysalo, Travis Scrimshaw
 * branch:  u/chapoton/13250 => public/additional_poset_examples-13250
 * commit:  fe039f2905828cec7588e3d74de0a71645216257 =>
     5923682cfc6315d0dab08c44eb97608431d7b2e0


Comment:

 I made a few changes:

 - Added `coxeter_matrix()` to symmetric group so its some geneic methods
 of its elements are not broken.
 - Added a new class for elements of the symmetric group (the permutation
 group element code could use a cleanup to bring it up to our current
 standards; e.g., the first input for the element should be the parent and
 we should use the category framework).
 - Changed `dict` into dict comprehension.
 - Added an absolute order example poset for Coxeter groups.
 - Removed the size of `n` restriction for the symmetric group. It's
 artificial and someone might want the `n = 11` case to test a conjecture
 on a good machine.

 If you agree with my changes, then you can set a positive review.
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=8df66547aa115be4a14b945d21b486dd2459303a
 8df6654]||{{{Added (sub)class for symmetric group elements and
 coxeter_matrix method.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=5923682cfc6315d0dab08c44eb97608431d7b2e0
 5923682]||{{{Some reviewer cleanup and added Coxeter group absolute
 order.}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/13250#comment:67>
Sage <http://www.sagemath.org>
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