On conjugation in the mod-\(p\) Steenrod algebra (Q2704058)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conjugation in the mod-\(p\) Steenrod algebra |
scientific article |
Statements
1 November 2001
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anti-automorphism
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On conjugation in the mod-\(p\) Steenrod algebra (English)
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Let \(p\) be an odd prime, \(A\) be the \(\text{mod }p\) Steenrod algebra and \(\chi: A\to A\) the anti-automorphism of \(A\). The aim of this paper is to compute \(\chi(X(k,n))\) where \(X(k,n)= P^{p^{k_n}} P^{p^{k-1_n}}\cdots P^{pn} P^n\); \(n, k\in\mathbb{N}\). (For the \(\text{mod }2\) analogue case see [\textit{J. H. Silverman}, Proc. Am. Math. Soc. 119, No. 2, 657-661 (1993; Zbl 0781.55011)]).
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