"Nicolas M. Thiery" <[EMAIL PROTECTED]> writes:

> 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.

Are you sure?  Could you give an example?  Let b: S -> E o C take a permutation
of U and produce the cycle decomposition of the permutation.

If s is a relabeling, i.e., a permutation of U, b(s) should produce the
corresponding relabeling on E o C [U].

I'd have thought that S and E o C are naturally isomorphic ?

Martin


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