  We show that if G is a finite constant group acting on a scheme X such that
the order of G is invertible in the residue fields of X, then the G-equivariant
motivic stable homotopy category of X is equivalent to the stabilization of the
category of motivic G-spaces with finite \'etale transfers over X at the
trivial representation sphere. Along the way we obtain several results of
independent interest, among them: we construct and study norms in the motivic
homotopy theory of stacks, and we extend the homotopy t-structure to DM-stacks
and establish some favorable properties.
