[GAP Forum] Stabilizers and orbits of subspaces of a vector space

[D Brozovic]

The general question is: given a matrix group G acting on Row space V, how
does one compute the stabilizer in G of a given subspace W of V?

It's not quite clear to me how to set up the G-action on subspaces.  For
example, if

V:=FullRowSpace(GF(3),4) and

X:=Subspaces(V,2), how does one obtain the action of G on this collection
of subspaces?  If that's done, presumably I can just compute Stablizer(G,
W) with the usual gap command.

Thanks for taking the time to read this.

Doug

-- 
Douglas Brozovic