• Bulletin of the Korean Mathematical Society
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• v.37 no.4
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• pp.779-790
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• 2000

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 $F_2[X_1,\; X_2,\; X_3]$.