On the dimension of $H^{\ast }(({\mathbb{Z}}_2{)}^{\times t},{\mathbb{Z}}_2)$ as a module over Steenrod ring

Dang Vo Phuc

We write $\mathbb{P}$ for the polynomial algebra in one variable over the finite field ${\mathbb{Z}}_2$ and ${\mathbb{P}}^{\otimes t}={\mathbb{Z}}_2[x_1,\dots ,x_t]$ for its $t$-fold ten…