On 01/25/2017 05:23 AM, Waldek Hebisch wrote:
I also noticed that Todd-Coxeter (toPermutationIfCan)
may produce something strange.  Namely, the following
(junky) relations:

Do you think there is a need for a simplifier for PermutationGroup like this:
http://dracos.co.uk/maths/permutations/
Or does representation in terms of strong generators make this unnecessary/difficult?

Either way I guess it would be more efficient and scalable if some simplification could also be done inside the Todd-Coxeter algorithm. I know that the Todd-Coxeter code does not yet detect and remove 'coincidences', that is, duplicated points. So this in the next improvement that needs to be made.

Thank you for the useful and interesting information about PermutationGroup and the algorithms in this and previous posts. I will work through this and hopefully the code can be improved.

Thanks,

Martin B

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