A direct summand in $H^{\ast } (M\textrm {O}\langle 8\rangle , Z_{2})$
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- by A. P. Bahri and M. E. Mahowald PDF
- Proc. Amer. Math. Soc. 78 (1980), 295-298 Request permission
Abstract:
${H^\ast }(MO\langle 8\rangle ,{Z_2})$ as a module over the Steenrod algebra is shown to have a direct summand $A//{A_2} \cdot U$.References
- William Browder, Homology operations and loop spaces, Illinois J. Math. 4 (1960), 347–357. MR 120646
- V. Giambalvo, On $\langle 8\rangle$-cobordism, Illinois J. Math. 15 (1971), 533–541. MR 287553
- V. Giambalvo, A relation in $H^{\ast }(M\textrm {O}\langle 8\rangle ,\,Z^{2})$, Proc. Amer. Math. Soc. 43 (1974), 481–482. MR 339174, DOI 10.1090/S0002-9939-1974-0339174-4
- Stanley O. Kochman, Homology of the classical groups over the Dyer-Lashof algebra, Trans. Amer. Math. Soc. 185 (1973), 83–136. MR 331386, DOI 10.1090/S0002-9947-1973-0331386-2
- Stewart Priddy, $K(\textbf {Z}/2)$ as a Thom spectrum, Proc. Amer. Math. Soc. 70 (1978), no. 2, 207–208. MR 474271, DOI 10.1090/S0002-9939-1978-0474271-8
- Robert E. Stong, Determination of $H^{\ast } (\textrm {BO}(k,\cdots ,\infty ),Z_{2})$ and $H^{\ast } (\textrm {BU}(k,\cdots ,\infty ),Z_{2})$, Trans. Amer. Math. Soc. 107 (1963), 526–544. MR 151963, DOI 10.1090/S0002-9947-1963-0151963-5
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 295-298
- MSC: Primary 57R90; Secondary 55S10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0550517-1
- MathSciNet review: 550517