#5314: [with patch, needs review] The empty permutations exists !
---------------------------+------------------------------------------------
 Reporter:  hivert         |       Owner:  hivert             
     Type:  defect         |      Status:  new                
 Priority:  major          |   Milestone:  sage-3.4.1         
Component:  combinatorics  |    Keywords:  permutations, empty
---------------------------+------------------------------------------------
 Right now sage consider that there is no empty permutations.
 {{{
 sage: [] in Permutations()
 False
 }}}
 There seems to be an agreement about the fact that the empty permutations
 exists ! Indeed there exists an empty set, and there exits exactly one
 function from the empty set to itself which is clearly bijective.

 The patch solve this defect:
 {{{
 sage: import sage_emacs as emacs
 sage: [] in Permutations()
 True
 sage: Permutations(0).list()
 [[]]
 sage: Permutations(0).count()
 1
 }}}

 Author: Florent Hivert

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5314>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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