#12226: rational a finite word
-----------------------------+----------------------------------------------
   Reporter:  sstarosta      |          Owner:  sage-combinat
       Type:  enhancement    |         Status:  new          
   Priority:  minor          |      Milestone:  sage-4.8     
  Component:  combinatorics  |       Keywords:               
Work_issues:                 |       Upstream:  N/A          
   Reviewer:                 |         Author:               
     Merged:                 |   Dependencies:               
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 Upgrade exponent of a FiniteWord_class to calculate rational exponents.

 Now:
 {{{
 sage: Word('1231').exponent()
 1
 }}}

 Expected:
 {{{
 sage: Word('1231').exponent()
 4/3
 }}}

 The goal
 {{{
 sage: Word('1231').exponent()
 4/3
 sage: Word('1231').exponent(integer=True)
 1
 }}}


 Also, upgrade (deprecate, review, and/or change name) the method
 primitive() to be in accordance with the terminology used in literature
 (the word is usually called the period instead of the primitive)
 {{{
 sage: Word('1231').exponent()
 4/3
 sage: Word('1231').period()
 word: 123
 }}}

 Upgrade influenced methods (primitive_length(), ...).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12226>
Sage <http://www.sagemath.org>
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