#19594: Implement the cactus group
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-7.0
      Component:  group theory       |   Resolution:
       Keywords:  cactus             |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/groups/cactus_group-19594   |  7eb2a1278ea0ca08375f87e0f82081218a2ea1ec
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by dimpase):

 Replying to [comment:16 darij]:
 > Sorry, Travis, you are right with your worries:
 > {{{
 > sage: s45*s13 == s13*s45
 > True
 > sage: s26*s45*s13 == s26*s13*s45
 > False
 > }}}
 > This cactus is thornier than I thought.

 this is also what Knuth-Bendix computation was predicting, that for n>4
 things get hard.

--
Ticket URL: <http://trac.sagemath.org/ticket/19594#comment:17>
Sage <http://www.sagemath.org>
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