Nilpotence and torsion in the cohomology of the Steenrod algebra

Monks, Kenneth G.

doi:10.1090/S0002-9947-1992-1068931-X

Nilpotence and torsion in the cohomology of the Steenrod algebra
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by Kenneth G. Monks

Trans. Amer. Math. Soc. 333 (1992), 903-912

DOI: https://doi.org/10.1090/S0002-9947-1992-1068931-X

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Abstract:

In this paper we prove the existence of global nilpotence and global torsion bounds for the cohomology of any finite Hopf subalgebra of the Steenrod algebra for the prime $2$. An explicit formula for computing such bounds is then obtained. This is used to compute bounds for ${H^{\ast } }({\mathcal {A}_n})$ for $n \leq 6$.

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Nilpotence and torsion in the Steenrod algebra and its cohomology

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