A relation in $H^{\ast }(M\textrm {O}\langle 8\rangle , Z^{2})$
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- by V. Giambalvo
- Proc. Amer. Math. Soc. 43 (1974), 481-482
- DOI: https://doi.org/10.1090/S0002-9939-1974-0339174-4
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Abstract:
It is shown that ${H^ \ast }(MO\langle 8\rangle ,{Z_2})$ does not split as a module over the Steenrod algebra into a direct sum of modules, each having a single generator.References
- D. W. Anderson, E. H. Brown, Jr. and F. P. Peterson, The structure of the Spin cobordism ring, Ann. of Math. 90 (1969), 157-186.
- V. Giambalvo, On $\langle 8\rangle$-cobordism, Illinois J. Math. 15 (1971), 533–541. MR 287553
- J. Milnor, On the cobordism ring $\Omega ^{\ast }$ and a complex analogue. I, Amer. J. Math. 82 (1960), 505–521. MR 119209, DOI 10.2307/2372970
- René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 481-482
- MSC: Primary 55G10; Secondary 57D90
- DOI: https://doi.org/10.1090/S0002-9939-1974-0339174-4
- MathSciNet review: 0339174