𝐻*(𝑀𝑂⟨8⟩;𝑍/2) is an extended 𝐴*₂-coalgebra

Pengelley, David J.

doi:10.1090/S0002-9939-1983-0681848-5

$H^{\ast } (M\textrm {O}\langle 8\rangle ; \textbf {Z}/2)$ is an extended $A^{\ast } _{2}$-coalgebra
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by David J. Pengelley PDF

Proc. Amer. Math. Soc. 87 (1983), 355-356 Request permission

Abstract:

We show that ${H^ * }(MO\left \langle 8 \right \rangle ;Z/2)$ is an extended $A_2^ *$-coalgebra, where $A_2^ *$ is the subalgebra of the Steenrod algebra generated by $\left \{ {{\text {S}}{{\text {q}}^1},{\text {S}}{{\text {q}}^2},{\text {S}}{{\text {q}}^4}} \right \}$. The method yields an analogous result for ${H^ * }(M {\operatorname {Spin}}; Z/2)$.

References

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as an algebra over the Steenrod algebra

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