[GAP Forum] Finding the Sp(4,2)-orbits

[Dima Pasechnik]

On Mon, Aug 20, 2012 at 07:06:15PM +0800, Kashyap Rajeevsarathy wrote:
> Hello,
>
> I am new to GAP and I was wondering if GAP could help me figure out the
> following:
>
>  I would like to know the GAP command for enlisting the orbits of the
> Sp(4,2)-action on (Z/2Z)^4, where Z/2Z is the field of order 2.

gap> G:=Sp(4,2);
gap> Orbits(G,FullRowSpace(GF(2),4));

will do what you'd like to.

However, Sp(2n,2) has just one orbit on nonzero vectors in its
natural action, no need to ask GAP, in fact...

HTH,
Dmitrii

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