Abstract

For a prime p let BP be the Brown–Peterson spectrum with homotopy ring BP ∗= Z (p)[v 1,v 2,v 3,…] . Using the arithmetical properties of the coefficients in the Brown–Peterson p k -series, we obtain the complete structure of the Z (p)[v 2,v 3,…] -module generated by the canonical elements d i∈BP 2i−1(B Z/p k) .

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