On Wed, Apr 18, 2012 at 10:11 AM, Sandeep Murthy
<sandeepr.mur...@gmail.com>wrote:
> Hi,
>
> This command
>
> ListX( H, K, PROD )
>
Most likely,
Set(ListX( H, K, PROD ))
will give what he wants.
>
> 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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>
>
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