#20154: train-tracks
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       Reporter:  dbenielli                      |        Owner:
           Type:  task                           |       Status:  new
       Priority:  major                          |    Milestone:  sage-7.1
      Component:  combinatorics                  |   Resolution:
       Keywords:  free-group automorphism        |    Merged in:
        Authors:  Dominique Benielli and         |    Reviewers:
  Thierry Coulbois                               |  Work issues:
Report Upstream:  N/A                            |       Commit:
         Branch:                                 |     Stopgaps:
   Dependencies:                                 |
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Comment (by coulbois):

 Yes of course we can also adapt the existing FreeGroup to my code. For
 that I need to know how much it is used. In particular as it seems to be
 only a wrapper of GAP.

 Apparently there are two different approaches:

 1/ The present FreeGroup (from GAP) focuses on the fact that free groups
 are algebraic objects (they have generators and the elements are somehow
 abstract group elements)

 2/ Whereas my approach is closer to that of Words: free group are
 combinatorial objects and their elements are words on an alphabet.

 I don't know how much these two approaches are compatible. And how much we
 can merge or converge to a common approach. The differences are probably
 similar to that between FreeMonoid and Words.

 Marco can you tell us how much your FreeGroup is used, how much it is
 important that its elements are from a GAP wrap class (ElementLibGAP) ?

--
Ticket URL: <http://trac.sagemath.org/ticket/20154#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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