Dickson Invariants hit by the Steenrod Squares
BY K. F. Tan and Kai Xu
Abstract: Let $D_3$ be the Dickson invariant ring
of $F_2[X_1,X_2,X_3]$ by GL(3,F_2)$.
In this paper, we prove each element in $D_3$ is hit by the Steenrod square in $F_2[X_1,X_2,X_3]$. Our method provides a clue in attacking the question in the general case.
(This paper contains some tedious computations which will be dropped
in the simplified version that will be written later.)