On a minimal set of generators for the polynomial algebra of five variables as a module over the Steenrod algebra

Dang Vo Phuc, Nguyen Sum

Denote by $P_k$ the graded polynomial algebra ${\mathbb{F}}_2[x_1,x_2,\dots ,x_k]$ over the prime field of two elements, ${\mathbb{F}}_2$, with the degree of each $x_i$ being 1. We stud…