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Proceedings of the American Mathematical Society

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$ H\sp{\ast} (M{\rm O}\langle 8\rangle ;\,{\bf Z}/2)$ is an extended $ A\sp{\ast} \sb{2}$-coalgebra


Author: David J. Pengelley
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
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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)$.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0681848-5
Article copyright: © Copyright 1983 American Mathematical Society

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