#14790: Python generator for free group variable names
----------------------------+-----------------------------------------------
   Reporter:  dshurbert     |             Owner:  joyner        
       Type:  enhancement   |            Status:  new           
   Priority:  minor         |         Milestone:  sage-5.11     
  Component:  group theory  |          Keywords:                
Work issues:                |   Report Upstream:  N/A           
  Reviewers:                |           Authors:  Davis Shurbert
  Merged in:                |      Dependencies:                
   Stopgaps:                |  
----------------------------+-----------------------------------------------
 When creating free and finitely presented groups, default variable names
 are often ugly.

 {{{
 sage: F = FreeGroup(12)
 sage: F
 Free Group on generators {x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10,
 x11}
 sage: F/[F([1,2,2,1,1,4,7,-8]),F([10,10,4,-5,4,-8]) ]
 Finitely presented group < x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10,
 x11 | x0*x1^2*x0^2*x3*x6*x7^-1, x9^2*x3*x4^-1*x3*x7^-1 >
 }}}

 Created by a utility function, the simple generator in this patch provides
 an easy way to consistently generate better variable names, and will be
 useful in creating free groups algorithmically.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14790>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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