Dear Forum, Alexander,
> Dear Forum, Dear Tim Kohl,
>
> If N, H are permutation groups with H normal in N
> and one computes FactorGroup(N,H) the result is expressed
> in terms of generators and relations.
>
> I suspect it is a PcGroup (which happens i factor is solvable). Otherwise it
> will be a permutation group.
>
> Is there a way to
> correlate the generators of FactorGroup(N,H) with a
> transversal of H in N?
>
> So you probably want the permutation action of N on the cosets of H. You can
> get it as `FactorCosetAction(N,H)` with the numbering of points corresponding
> to `RightTransversal(N,H)`.
I guess my natural question (betraying a bit of ignorance) is how can I utilize
this Action?
And if I have a subgroup of FactorGroup(N,H) can I look at the resulting action
on the level of cosets?
Thank you.
-T
>
> All the best,
>
> Alexander Hulpke
>
> The reason I'm asking is that N acts transitively
> on a collection of groups with H as the stabilizer
> and I want to study the induced action of N/H (and most
> importantly subgroups thereof) as it is substantially smaller.
>
> Thanks.
>
> -Tim K.
>
> - Colorado State University, Department of Mathematics, Weber Building, 1874
> Campus Delivery, Fort Collins, CO 80523-1874, USA email:
> [email protected], http://www.math.colostate.edu/~hulpke
>
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