The iterated total squaring operation

Lomonaco, Luciano

doi:10.1090/S0002-9939-1992-1112495-4

The iterated total squaring operation
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by Luciano Lomonaco PDF

Proc. Amer. Math. Soc. 115 (1992), 1149-1155 Request permission

Abstract:

In this paper we prove a formula that expresses the iterated total squaring operation in terms of modular invariant theory and provide an alternative proof of a classical result of Múi’s.

References

J. F. Adams, J. H. Gunawardena, and H. Miller, The Segal conjecture for elementary abelian $p$-groups, Topology 24 (1985), no. 4, 435–460. MR 816524, DOI 10.1016/0040-9383(85)90014-X

Invariant theory and the total squaring operation

Huỳnh Mùi, Dickson invariants and Milnor basis of the Steenrod algebra, Topology, theory and applications (Eger, 1983) Colloq. Math. Soc. János Bolyai, vol. 41, North-Holland, Amsterdam, 1985, pp. 345–355. MR 863917
Ib Madsen and R. James Milgram, The classifying spaces for surgery and cobordism of manifolds, Annals of Mathematics Studies, No. 92, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1979. MR 548575
William M. Singer, Invariant theory and the lambda algebra, Trans. Amer. Math. Soc. 280 (1983), no. 2, 673–693. MR 716844, DOI 10.1090/S0002-9947-1983-0716844-7
N. E. Steenrod, Cohomology operations, Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. Lectures by N. E. Steenrod written and revised by D. B. A. Epstein. MR 0145525
Clarence Wilkerson, Classifying spaces, Steenrod operations and algebraic closure, Topology 16 (1977), no. 3, 227–237. MR 442932, DOI 10.1016/0040-9383(77)90003-9