“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.
Toward Quillen stratification for the odd primary Steenrod algebra
John H. Palmieri · November 2, 2026 · Mathematics
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.
Free PDF DOI: 10.48550/arxiv.2611.04013
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