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Ossa's theorem and Adams covers

Author(s): Robert R. Bruner
Journal: Proc. Amer. Math. Soc. 127 (1999), 2443-2447.
MSC (1991): Primary 55P10, 55N20; Secondary 55N15, 55S10
Posted: March 16, 1999
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Abstract: We show that Ossa's theorem splitting $ku \wedge BV$ for elementary abelian groups follows from general facts about $ku \wedge BZ/2$ and Adams covers. For completeness, we also provide the analogous results for $ko \wedge BV$ .

References:

1.: David Copeland Johnson and W. Stephen Wilson, ``On a Theorem of Ossa'' Proc. Amer. Math. Soc. 125 (1997), 3753-3755. MR 98b:55003
2.: W. H. Lin, D. Davis, M. E. Mahowald and J. F. Adams, ``Calculation of Lin's Ext Groups'', Math. Proc. Camb. Phil, Soc. 87 (1980), 459-469. MR 81e:55025
3.: H. R. Margolis, ``Eilenberg-MacLane Spectra'', Proc. Amer. Math. Soc. 43 (1974), 409-415. 1973.MR 49:6239
4.: Eric Ossa, ``Connective K Theory of Elementary Abelian Groups'', Proceedings of the 1987 Osaka Conference on Transformation groups, Springer Lecture Notes in Mathematics, V. 1375, 269-275. MR 90h:55009


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