Hi,
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. Is there a way to
correlate the generators of FactorGroup(N,H) with a
transversal of H in N?
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.
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