On the action of the Steenrod-Milnor operations on the invariants of the general linear groups

Nguyen Thai Hoa, Pham Thi Kim Minh, Nguyen Sum

Let $p$ be an odd prime number. Denote by $G{L}_n=GL(n,{\mathbb{F}}_p)$ the general linear group over the prime field ${\mathbb{F}}_p$. Each subgroup of $G{L}_n$ acts on the algebra $P_n=E…