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The character of the total power operation

Barthel, Tobias ; Stapleton, Nathaniel



Abstract

We compute the total power operation for the E-Morava E-theory of any finite group up to torsion. Our formula is stated in terms of the GL(n)(Q(p))-action on the Drinfel'd ring of full level structures on the formal group associated to E-theory. It can be specialized to give explicit descriptions of many classical operations. Moreover, we show that the character map of Hopkins, Kuhn and Ravenel ...

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