A note on the action of the primitive Milnor operations on the Dickson invariants

Abstract

In this note, we present a formula for the action of the primitive Milnor operations on generators of algebra of invariants of the general linear group $G{L}_n=GL(n,{\mathbb{F}}_p)$ in the polynomial algebra $P_n={\mathbb{F}}_p[x_1,x_2,\dots ,x_n]$ with $p$ an odd prime number.

arXiv comment6 pages