English

Dickson Invariants in the image of the Steenrod Square

Algebraic Topology 2007-05-23 v1

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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Cite

@article{arxiv.math/0004074,
  title  = {Dickson Invariants in the image of the Steenrod Square},
  author = {Kai Xu},
  journal= {arXiv preprint arXiv:math/0004074},
  year   = {2007}
}

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4 pages