Multiplicative operations in the Steenrod algebra for Brown–Peterson cohomology

Volume 160 / 1999

Michael Slack Fundamenta Mathematicae 160 (1999), 81-93 DOI: 10.4064/fm-160-1-81-93


A family of multiplicative operations in the BP Steenrod algebra is defined which is related to the total Steenrod power operation from the mod p Steenrod algebra. The main result of the paper links the BP versions of the total Steenrod power with the formal group approach to multiplicative BP operations by identifying the p-typical curves (power series) which correspond to these operations. Some relations are derived from this identification, and a short proof of the Hopf invariant one theorem is given as a sample computation.


  • Michael Slack

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