# DICKSON INVARIANTS HIT BY THE STEENROD SQUARE

• Tan, K.F. (DEPARTMENT OF MATHEMATICS, NATIONAL UNIVERSITY) ;
• Xu, Kai (DEPARTMENT OF MATHEMATICS, NATIONAL UNIVERSITY)
• Published : 2000.11.01

#### Abstract

Let $D_3$ be the Dickson invariant algebra of $F_2[X_1,\; X_2,\; X_3] \; by \; GL(3,\; F_2)$. In this paper, we provide an elementary proof of Theorem 3.2 of [2]; each element in $D_3$ is hit by the Steenrod square in $F_2[X_1,\; X_2,\; X_3]$.

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