ℎ₀-torsion bounds in the cohomology of the Steenrod algebra

Monks, Kenneth G.

doi:10.1090/S0002-9939-1992-1070527-6

$h_ 0$-torsion bounds in the cohomology of the Steenrod algebra
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by Kenneth G. Monks

Proc. Amer. Math. Soc. 114 (1992), 5-9

DOI: https://doi.org/10.1090/S0002-9939-1992-1070527-6

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Abstract:

In this paper we use a technique of M. Hopkins to prove that the cohomology of the finite Hopf subalgebra of the $\bmod 2$ Steenrod algebra generated by $\operatorname {Sq}\left ( {{2^i}} \right )$ with $i \leq n$, has ${h_0}$-torsion bound ${2^{n + 1}} - n - 2{\text { for }}n \geq 1$.

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