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The Action of the Dickson Invariants on Length n Steenrod Operations

Published online by Cambridge University Press:  20 November 2018

James Kulich*
Affiliation:
School of Mathematics University of Minnesota Minneapolis, Minnesota 55455
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Abstract

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The purpose of this paper is to give an explicit formula for the action of the n dimensional Dickson invariants on the admissible mod 2 Steenrod operations of length n.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1987

References

1. Campbell, H. E. A., Upper Triangular Invariants, Canad. Math. Bull. 28 (1985), pp. 243248.Google Scholar
2. Dickson, L., A fundamental system of invariants of the general modular linear group with a solution of the form problem, Trans. Am. Math. Soc. 12 (1911), pp. 7598.Google Scholar
3. Mitchell, S., Finite complexes with A(n)-free cohomology, Topology 24 (1985), pp. 227248.Google Scholar
4. Mitchell, S. and Priddy, S., Stable splittings derived from the Steinberg module, Topology 22 (1983), pp. 285298.Google Scholar
5. Nakaoka, M., Homology of the infinite symmetric group, Ann. of Math, 73 (1961), pp. 229257.Google Scholar
6. Singer, W.M., Invariant Theory and the Lambda Algebra, Trans. A. M. S. 280 (1983), pp. 673693.Google Scholar
7. Wilkerson, C., A Primer on the Dickson Invariants, in Proceedings of the Northwestern Homotopy Theory Conference, Contem. Math. 19 (1983), pp. 421434.Google Scholar