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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A relation in $ H\sp{\ast}(M{\rm O}\langle 8\rangle ,\,Z\sp{2})$


Author: V. Giambalvo
Journal: Proc. Amer. Math. Soc. 43 (1974), 481-482
MSC: Primary 55G10; Secondary 57D90
MathSciNet review: 0339174
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0339174-4
PII: S 0002-9939(1974)0339174-4
Keywords: $ \langle 8\rangle $-cobordism, Steenrod algebra, splitting over Steenrod algebra
Article copyright: © Copyright 1974 American Mathematical Society