Homology, Homotopy and Applications

Volume 2 (2000)

Number 1

Stripping and conjugation in the mod $p$ Steenrod algebra and its dual

Pages: 1 – 16

DOI: http://dx.doi.org/10.4310/HHA.2000.v2.n1.a1

Author

Dagmar M. Meyer (LAGA, Institut Galilée, Univ. Paris-Nord, Paris, France)

Abstract

Let $p$ be an odd prime and ${\cal A}^{\ast}$ the mod $p$ Steenrod algebra. We study the technique known as “stripping” applied to ${\cal A}^{\ast}$ and derive certain conjugation formulas both for ${\cal A}^{\ast}$ and its dual, generalising work of J. H. Silverman for $p=2$ (“Conjugation and excess in the Steenrod algebra”, Proc. Am. Math. Soc. 119 (1993), no. 2, 657-661; “Hit polynomials and conjugation in the dual Steenrod algebra”, Math. Proc. Camb. Philos. Soc. 123 (1998), no. 531-547) to the case of an odd prime.

Keywords

stripping, conjugation, Steenrod algebra, antiautomorphism

2010 Mathematics Subject Classification

55S10

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