Nilpotence theorem

On when an element of the coefficient ring of a ring spectrum is nilpotent

In algebraic topology, the nilpotence theorem gives a condition for an element in the homotopy groups of a ring spectrum to be nilpotent, in terms of the complex cobordism spectrum . More precisely, it states that for any ring spectrum , the kernel of the map consists of nilpotent elements. It was conjectured by Douglas Ravenel and proved by Ethan S. Devinatz, Michael J. Hopkins, and Jeffrey H. Smith.

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