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

Dagmar M. Meyer

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'', {\sl Proc.\ Am.\ Math.\ Soc.} {\bf 119} (1993), no.2, 657 -- 661; ``Hit polynomials and conjugation in the dual Steenrod algebra'', {\sl Math.\ Proc.\ Camb.\ Philos.\ Soc.} {\bf 123} (1998), no.3, 531 -- 547) to the case of an odd prime.

Homology, Homotopy and Applications, Vol. 2, 2000, No. 1, pp 1-16

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