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math.AT2025
Splittings of truncated motivic Brown--Peterson cooperations algebras
Jackson Morris, Sarah Petersen, Elizabeth Tatum
We construct spectrum-level splittings of at all primes , where is the first truncated motivic Br…
math.AT2025
Graphs arising from the dual Steenrod algebra
Connor Elliott, Courtney Hauf, Kai Morton +2
We extend Wood's graph theoretic interpretation of certain quotients of the mod dual Steenrod algebra to quotients of the mod dual Steenrod algebra where is an odd prim…
math.AT2025
A spectrum-level splitting of the -cooperations algebra
Guchuan Li, Sarah Petersen, Elizabeth Tatum
In the 1980's, Mahowald and Kane used integral Brown--Gitler spectra to decompose as a sum of finitely generated -module spectra. This splitting, along with an a…