Odd primary Steenrod operations in first-quadrant spectral sequences

Sawka, John

doi:10.1090/S0002-9947-1982-0667171-7

Odd primary Steenrod operations in first-quadrant spectral sequences
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by John Sawka

Trans. Amer. Math. Soc. 273 (1982), 737-752

DOI: https://doi.org/10.1090/S0002-9947-1982-0667171-7

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Abstract:

This paper defines two kinds of Steenrod operations in the spectral sequence of a bisimplical $\operatorname {mod} p$ coalgebra and shows them to be a complete list of all such possible Steenrod operations. These operations are compatible with the differentials and with Steenrod operations on the total complex. A general rule is given for computing the operations on ${E_2}$. A generalization of the Kudo transgression theorem is also proved, placing it in a larger and more natural setting.

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