maybe the following is faster (and does not need the sonata package):
I:=G; #G is a group
for H in List(ConjugacyClassesSubgroups(G),Representative) do
I:=Intersection(I,Normalizer(G,DerivedSubgroup(H)));
od;
I:=Core(G,I);
Am 07.11.2010 09:38, schrieb Benjamin Sambale:
try this:
LoadPackage("sonata");
I:=G; #G is a group
for H in Subgroups(G) do
I:=Intersection(I,Normalizer(G,DerivedSubgroup(H)));
od;
#now I is the intersection you want
best wishes,
Benjamin
Am 07.11.2010 08:13, schrieb 刘建军:
Dear forum,
Let $G$ be a finite group. I would like to know that the intersection
of the normalizers of derived subgroups of all subgroups of $G$.
Is there a method to get it in GAP?
Best Wishes
Jianjun Liu
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