On the generators of the polynomial algebra as a module over the Steenrod algebra

Dang Vo Phuc, Nguyen Sum

Let $P_k:={\mathbb{F}}_2[x_1,x_2,\dots ,x_k]$ be the polynomial algebra over the prime field of two elements, ${\mathbb{F}}_2$, in $k$ variables $x_1,x_2,\dots ,x_k$, each of degree…