> no, no, that's not what you want to do, certainly. A much more efficient
> way
> is to compute a strong generating set w.r.t. a "canonical" minimal base.
>
data into a canonical form of a permutation group.

There is no "canonical" minimal base, unless one specifies the group action
to such an extent that most permutation group representations are excluded.

Seriously, if you need some sort of canonical form for permutation groups,
you must restrict to primitive actions. In the real world, this just isn't
a sensible approach. Each abstract group has infinitely many permutation
group representations. ONLY the primitive representations are currently
classified in any detail below a given degree, and as such those are the
only canonical representations that would even be available.

Jaosn

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