A-generators for ideals in the Dickson algebra

The Dickson Algebra on q-variables is the algebra of invariants of the action of the mod-2 general linear group on a polynomial algebra in q-variables. We study the structure of certain ideals in this algebra as a module over the Steenrod Algebra image, and develop methods to determine which elements are hit by Steenrod operations. This allows us to display a very small set of image-generators for these ideals and show that the set is minimal in some cases.