#14684: Convert between free group elements considering generator names.
----------------------------+-----------------------------------------------
   Reporter:  mmarco        |             Owner:  joyner     
       Type:  defect        |            Status:  new        
   Priority:  minor         |         Milestone:  sage-5.11  
  Component:  group theory  |          Keywords:  free groups
Work issues:                |   Report Upstream:  N/A        
  Reviewers:                |           Authors:  mmarco     
  Merged in:                |      Dependencies:             
   Stopgaps:                |  
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 Right now, when we try to convert elements between free groups, they just
 get converted to the Tietze list, forgeting about the names of the
 generators. This can cause strange behaviour like:
 {{{
 sage: F.<a,b>=FreeGroup()
 sage: G.<b,a>=FreeGroup()
 sage: F(a)
 b
 }}}

 This patch solves this, looking for generators with matching names.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14684>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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