Dear Forum,
If I have two subgroups H and K of a group G, what's the best way to
form what I think is sometimes called the "complex product"? That is,
I want to form the set
HK = { hk : h in H, k in K }
(I don't want the group generated by H and K.)
Below is a listing of the obvious/dumb algorithm, but I suspect
there's a better way to do this in GAP. If someone knows of one,
please let me know.
Thanks!
-William
HK:=[];
for h in H do
for k in K do
if h*k not in HK then
Add(HK,h*k);
fi;
od;
od;
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