Contents Online

# 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

#### 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