# Toward Quillen stratification for the odd primary Steenrod algebra

“Toward Quillen stratification for the odd primary Steenrod algebra” (2026), by John H. Palmieri. Mathematics research paper. Original abstract below, unchanged. A free PDF is available.

- Authors: John H. Palmieri
- Published: November 2, 2026
- Field: Mathematics
- DOI: https://doi.org/10.48550/arxiv.2611.04013
- Free PDF: https://arxiv.org/pdf/2611.04013

## 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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