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Dickson Invariants in the image of the Steenrod Square

Kai Xu
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Abstract

Let D_n be the Dickson invariant ring of F_2[X_1,...,X_n] acted by the general linear group GL(n,\F_2). In this paper, we provide an elementary proof of the conjecture by [Hung]: each element in D_n is in the image of the Steenrod square in F_2[X_1,...,X_n], where n>3.

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Kai Xu. 2000-04-12. Dickson Invariants in the image of the Steenrod Square. https://arxiv.org/abs/math/0004074

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