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Hello All,

I am conducting research into a certain problem in Group Theory, and part of

my research is based on computer calculations using GAP. It turns out that

one of the more time-exhaustive parts of my

programs is the need to find the set of all self-normalized subgroups of a

group G (A subgroup H of G is self-normalized if N_G(H) = H).

More specifically, I would like to be able to calculate the self-normalized

subgroups of (G x H) and (G wr S_k), if I already know the set of

self-normalized subgroups of G and H. Does anyone have an idea of something

I could use to get a better algorithm than just brute force over the

subgroups?

Thanks in advance,

Avital.

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