#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 | Merged in:
automorphism | Reviewers:
Authors: Dominique | Work issues:
Benielli, Thierry Coulbois | Commit:
Report Upstream: N/A | 8e7f6300f59a3eca9d69233a52fc09b025cb33a2
Branch: | Stopgaps:
u/dbenielli/train_tracks |
Dependencies: |
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Comment (by coulbois):
Yes, I begin to understand, that I will need to use (and add
functionalities) to the current FreeGroup.
The main difficulty is that I rely heavily on WordMorphism, in particular
for parsing:
FreeGroupAutomorphism("a->ab,b->aC,c->a")
And for applying or compose morphisms. These are heavily used in my
program.
This suggest that I would like that my elements of FreeGroup are Word. Do
you have any objection to FreeGroup also inheriting from Words ? And
FreeGroupElement from Word ?
I guess that it is not too complicated to add Words and Word methods to
your FreeGroup and FreeGroupElement. But will that interfere with deeper
GAP implementations (I am completly new to GAP)?
Would that be satisfactory to Sage gurus that FreeGroup are both an
algebraic object and a symbolic one ?
Finally there is also a IndexedFreeGroup class which is not a wrapper of
GAP, how does it fit in this discussion ?
> I don't think it is a good idea to override the default FreeGorup
implementation. Many parts of Sage deppend on it. It would make more sense
to extend it with the methods that are needed for the rest of your code.
--
Ticket URL: <http://trac.sagemath.org/ticket/20154#comment:23>
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