>
> Is this necessary? All groups are isomorphic to the permutation group
> anyway. Groups for specific structures can make use of functionality
> implemented for them (matrix group -> sympy matrices, galois -> polys)
> for basic operations and can implement the mapping to the perm group
> module for group theoretic operations.
>

This seems incorrect. Zn is abelian for example and it is not
isomorphic to any permutation group. Moreover, there are all the
continuous groups.

Besides, it will be nicer to have some abstract object that is not
tied to a concrete representation, even though it will probably just
be a wrapper for all the representations supported by sympy.

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