#16630: Fix category for finite Coxeter groups
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  tscrim
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  group theory       |   Resolution:
       Keywords:  Coxeter, category  |    Merged in:
        Authors:  Travis Scrimshaw,  |    Reviewers:  Darij Grinberg,
  Frédéric Chapoton, Darij Grinberg  |  Frédéric Chapoton, Travis Scrimshaw
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  public/groups/fix_category_finite_coxeter-16630|  
49cc3bc1ecaba4b43f2ed426a8ebbfee6c77ddcd
   Dependencies:  #16633             |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * commit:  d1b9211eb55403bbfad3fb23adf127a92447ffb1 =>
     49cc3bc1ecaba4b43f2ed426a8ebbfee6c77ddcd
 * branch:  public/ticket/16630 =>
     public/groups/fix_category_finite_coxeter-16630


Comment:

 I renamed this method `order`, which is the real cause of the issue why
 `cardinality` from `FiniteEnumeratedSets` isn't working properly (and
 `order` raises a `NotImplementedError` where it shouldn't either). I also
 refined the category to `Infinite` if the group is not finite.

 Note that I cherry-picked your commits into this branch (since I don't
 want to upgrade my copy of Sage today).
 ----
 New commits:
 
||[http://git.sagemath.org/sage.git/commit/?id=3597e2f5e65dd0f7b56a0464c5b36c416d99c61e
 3597e2f]||{{{Merge branch
 'public/groups/fix_category_finite_coxeter-16630' of
 trac.sagemath.org:sage into
 public/groups/fix_category_finite_coxeter-16630}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=0f5d819446fdc4f0320f8ec6595dd272b1647d5d
 0f5d819]||{{{trac #16630 replace base_ring by base_field}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=be4cdbf2caf74877439001591a8b6ffafc43c2a9
 be4cdbf]||{{{trac #16630 adding a cardinality method.}}}||
 
||[http://git.sagemath.org/sage.git/commit/?id=49cc3bc1ecaba4b43f2ed426a8ebbfee6c77ddcd
 49cc3bc]||{{{Changed cardinality() to order() and added Infinite
 refinement.}}}||

--
Ticket URL: <http://trac.sagemath.org/ticket/16630#comment:40>
Sage <http://www.sagemath.org>
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