PreprintCC BY 4.0arXiv
Toward Quillen stratification for the odd primary Steenrod algebra
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.
Related
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- Quillen's finiteness conjecture for the cotangent complex in characteristic two
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BibTeX
@misc{palmieri2026toward,
title = {{Toward Quillen stratification for the odd primary Steenrod algebra}},
author = {John H. Palmieri},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04013},
eprint = {2611.04013},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04013},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Toward Quillen stratification for the odd primary Steenrod algebra
AU - John H. Palmieri
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.04013
UR - https://arxiv.org/abs/2611.04013
AB - 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.
ER -