The hit problem for a cohomology module over the Steenrod algebra A asks for a minimal
set of A–generators for the module. In this paper we consider the symmetric algebras over …

A NOTE ON THE UNSTABILITY CONDITIONS OF THE STEENROD SQUARES ON THE
POLYNOMIAL ALGEBRA 1. Preliminaries In 1947, Steenrod [21] i Page 1 J. Korean Math. Soc …

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 …

The algebra S of symmetric invariants over the field with two elements is an unstable
algebra over the Steenrod algebra A, and is isomorphic to the mod two cohomology of BO …

The Dickson algebra Wn+ 1 of invariants in a polynomial algebra over [] 2 is an unstable
algebra over the mod 2 Steenrod algebra [Ascr], or equivalently, over the Kudo–Araki–May …

Heegaard Floer homology is a package of invariants of 3–manifolds invented by Ozsváth
and Szabó, using holomorphic disks and Heegaard splittings of the 3–manifold [13; 12]. It …

A non-connected neither of finite type Hopf algebra F 0′ is defined over Z/p Z and its hom
dual turns out to be a tensor product of polynomial algebras. Certain quotient Hopf algebras …

We describe bialgebras of lower-indexed algebraic Steenrod operations over the field with p
elements, p an odd prime. These go beyond the operations that can act nontrivially in …

We study an abelian category of unstable modules with the top k Steenrod operations at the
prime 2. We show that this category has homological dimension at most k. We establish …

We describe a minimal unstable module presentation over the Steenrod algebra for the odd-
primary cohomology of infinite-dimensional complex projective space and apply it to obtain …