Nguyen Sum
Published 2014-12-04Version 1
We study the problem of determining a minimal set of generators for the polynomial algebra $\mathbb F_2[x_1,x_2,\ldots,x_k]$ as a module over the mod-2 Steenrod algebra $\mathcal{A}$. In this paper, we give an explicit answer in terms of the monomials for $k=4$.
A note on the hit problem for the Steenrod algebra and its applications
On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra
On a construction for the generators of the polynomial algebra as a module over the Steenrod algebra
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