  For groups of prime order, equivariant stable maps between equivariant
representation spheres are investigated using the Borel cohomology Adams
spectral sequence. Features of the equivariant stable homotopy category, such
as stability and duality, are shown to lift to the category of modules over the
associated Steenrod algebra. The dependence on the dimension functions of the
representations is clarified.

Algebraic Topology