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arXiv · 2611.04013

Toward Quillen stratification for the odd primary Steenrod algebra

John H. Palmieri
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Abstract

Fix an odd prime $p$ and let $A$ be the mod $p$ Steenrod algebra. There is a normal sub-Hopf algebra $D$ of $A$, and we show that the cohomology of $A$ is $F$-isomorphic to the subalgebra of the cohomology of $D$ which is invariant under the $A$-action. We also show that the sub-Hopf algebras of $A$ with bounded profile function detect nilpotence in cohomology.

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John H. Palmieri. 2026-11-02. Toward Quillen stratification for the odd primary Steenrod algebra. https://arxiv.org/abs/2611.04013

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