Hi David

On May 19, 5:51 pm, David Joyner <wdjoy...@gmail.com> wrote:
> 1. you can coerce the coefficients to GF(3)

Can I? The generators are still distinct in GF(3), but I might lose
elements when I take products (maybe not in this case, I am thinking
about the general problem for an arbitrary Weyl group). Wouldn't do
that unless I have a way to determine the finite field in which things
still are what they should.

> 2. You can try G1 = gap(G) and
>  G2 = gap(SymmetricGroup(4))
> and G1.IsomorphismGroups(G2):
>
..... .....
>
> sage: G1.IsomorphismGroups(G2)
>
> CompositionMapping( GroupGeneralMappingByImages( SymmetricGroup(
> [ 1 .. 4 ] ), SymmetricGroup( [ 1 .. 4 ] ), [ (1,3,2,4), (1,2,3,4) ],
> [ (1,2,3,4), (1,4,2,3) ] ), <action isomorphism> )

That might actually work, but the output is a bit bizarre. Can I see
from there what are the images of my generators, or at least turn the
output into a "true/false" boolean?

Thanks for your answer.

Javier
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