Abstract
The dual Steenrod algebra has a canonical subalgebra isomorphic to the homology of the Brown--Peterson spectrum. We will construct a secondary operation in mod-2 homology and show that this canonical subalgebra is not closed under it. This allows us to conclude that the 2-primary Brown--Peterson spectrum does not admit the structure of an $E_n$-algebra for any $n\ge 12$, answering a question of May in the negative.
Citation
Tyler Lawson. "Secondary power operations and the Brown--Peterson spectrum at the prime 2." Ann. of Math. (2) 188 (2) 513 - 576, September 2018. https://doi.org/10.4007/annals.2018.188.2.3
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