Hi,
This command
ListX( H, K, PROD )
will do the product, seems fairly quick.
SRM
On 18 Apr 2012, at 13:49, William DeMeo wrote:
> 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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