Dieudonné rings associated with 𝐾(𝑛)_{∗}\underline{𝑘(𝑛)}_{∗}

Saramago, Rui

doi:10.1090/S0002-9939-08-09235-6

Dieudonné rings associated with $K(n)_\ast \underline {k(n)}_{ \ast }$
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by Rui Miguel Saramago PDF

Proc. Amer. Math. Soc. 136 (2008), 2699-2709 Request permission

Abstract:

We use Dieudonné theory for periodically graded Hopf rings to determine the Dieudonné ring structure of the $\mathbb {Z}/2(p^n - 1)$-graded Morava $K$-theory $\overline {K(n)}_\ast (-)$, with $p$ an odd prime, when applied to the $\Omega$-spectrum $\underline {k(n)}_{ \ast }$ (and to $\underline {K(n)}_{ \ast }$). We also expand these results in order to accomodate the case of the full Morava $K$-theory $K(n)_\ast (-)$.

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