$H^{\ast } (M\textrm {O}\langle 8\rangle ; \textbf {Z}/2)$ 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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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 355-356
- MSC: Primary 55N22
- DOI: https://doi.org/10.1090/S0002-9939-1983-0681848-5
- MathSciNet review: 681848