Hi Martin

I've also tried your code and must confirm Waldek's statements. I guess there
are some pitfalls which are known for some time.

Did you read "Implementation and Analysis of the Todd-Coxeter Algorithm"
by Cannon et al.? Old but still beneficial.
http://staff.itee.uq.edu.au/havas/1973cdhw.pdf

Maybe you should alo have a look at sympy:
http://docs.sympy.org/dev/modules/combinatorics/fp_groups.html
where the article above is also cited.

Otherwise I see much progress.
Kurt

Am 26.01.2017 um 15:29 schrieb Waldek Hebisch:
> Martin Baker wrote:
>>
>> 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:
>>

> 
> ATM I do not know what is good strategy when implementing
> Todd-Coxeter.  One thing that I know is that it is
> useful to work with cosets with respect to a nontrivial
> subgroup.
> 

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