The Stickelberger Splitting Map and Euler Systems in the K – Theory of Number Fields

Abstract

For a CM abelian extension F/K of an arbitrary totally real number field K, we construct the Stickelberger splitting maps (in the sense of [1]) for both the étale and the Quillen K–theory of F and we use these maps to construct Euler systems in the even Quillen K–theory of F . The Stickelberger splitting maps give an immediate proof of the annihilation of… (More)

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