Stanley-Reisner's ring and the occurrence of the Steinberg representation in the hit problem

Nguyen Dang Ho Hai

G. Walker and R. Wood proved that in degree $2^n-1-n$, the space of indecomposable elements of ${\mathbb{F}}_2[x_1,\dots ,x_n]$, considered as a module over the mod 2 Steenrod algebra, i…