TOPOLOGICAL REALIZATION OF CERTAIN ALGEBRAS ASSOCIATED TO THE DICKSON ALGEBRAS

We discuss the topological realisation of certain Z/2-algebras A(n) over the mod 2 Steenrod algebra A(2). If an associative H-space X(n) satisfies H*(X(n); Z/2) congruent-to A(n), the mod 2 cohomology of its classifying space is isomorphic to the algebra of invariants of the canonical Gl(n) (Z/2)-action on a graded polynomial algebra in n variables of degree 1.