I am curious to know if there is either a built-in function or a way to
modify the existing code to do the following:
I have a group G and a subgroup H. I want to compute the conjugacy
classes of subgroups H where conjugacy is taken in G, instead of H. The
way I've been doing it is the following:
List(ConjugacyClassesSubgroups(H),Representative);
Then I manually check to see how which classes are fused in G and remove
redundacies.
Is there a way to get the same results without doing that? In other
words, could I use the cyclic extension method, except compute the
zuppos of H as conjugacy classes of G and do all the required
calculations in G instead of H?
Thanks
Joe
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