> I know that Permutation could have done via Compose(SetSpecies, Cycle), 
> but it seemed so overly important that I thought a more efficient 
> implementation is worth it.

Yes. Furthermore, Compose(SetSpecies, Cycle) and Permutation are *not*
the same species: there of course is a bijection between the two, but
this bijection is not compatible with the group actions.

Cheers,
                                                Nicolas
-- 
Nicolas M. ThiƩry "Isil" <[EMAIL PROTECTED]>
http://Nicolas.Thiery.name/

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