Dickson Invariants in the image of the Steenrod Square

Details Dickson Invariants in the image of the Steenrod Square Dickson Invariants in the image of the Steenrod Square

2000-04-12

arxiv.org/abs/math/0004074v1

Mathematics

Algebraic Topology

4 pages

Scientific paper

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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