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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.

References [Enhancements On Off] (What's this?)

  • [1] 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.
  • [2] V. Giambalvo, On ⟨8⟩-cobordism, Illinois J. Math. 15 (1971), 533–541. MR 0287553
  • [3] J. Milnor, On the cobordism ring Ω* and a complex analogue. I, Amer. J. Math. 82 (1960), 505–521. MR 0119209
  • [4] René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 0061823

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Keywords: $ \langle 8\rangle $-cobordism, Steenrod algebra, splitting over Steenrod algebra
Article copyright: © Copyright 1974 American Mathematical Society