#11128: Limit case bug for conjugate_position in words
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   Reporter:  slabbe         |       Owner:  slabbe  
       Type:  defect         |      Status:  new     
   Priority:  major          |   Milestone:  sage-4.7
  Component:  combinatorics  |    Keywords:          
     Author:                 |    Upstream:  N/A     
   Reviewer:                 |      Merged:          
Work_issues:                 |  
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 As pointed out by Alessandro De Luca on [http://groups.google.com/group
 /sage-combinat-devel/browse_thread/thread/b6477d86e57b5e44 sage-combinat-
 devel], there is a bug in the {{{conjugate_position}}} method for finite
 words:

 {{{
 sage: w = Word([0,0,1,0,2,1])
 sage: [w.conjugate(i).conjugate_position(w) for i in range(6)]
 [0, 1, 2, 3, 4, None]
 }}}

 Allessandro also said:
 {{{
 This bug has consequences on other functions in the combinatorics on
 words package: for instance, you get

 sage: Word('abaa').is_conjugate_with(Word('aaba'))
 True

 sage: Word('aaba').is_conjugate_with(Word('abaa'))
 False
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11128>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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