The Stickelberger splitting map and Euler systems in theK-theory of number fields

Publication year: 2011 Source: Journal of Number Theory, Available online 13 October 2011 Grzegorz Banaszak, Cristian D. Popescu For a CM abelian extensionof a totally real number fieldK, we construct the Stickelberger splitting maps (in the sense of Banaszak, 1992) for the étale and the QuillenK-theory ofFand use these maps to construct Euler systems in the even QuillenK-theory ofF. The Stickelberger splitting maps give an immediate proof of the annihilation by higher Stickelberger elements of the subgroupsof divisible elements of, for alland all odd primesl. This generalizes the results of Banaszak (1992), which only deals with CM abelian extensions of.

Publication year: 2011 Source: Journal of Number Theory, Available online 13 October 2011 Grzegorz Banaszak, Cristian D. Popescu For a CM abelian extensionof a totally real number fieldK, we construct the Stickelberger splitting maps (in the sense of Banaszak, 1992) for the étale and the QuillenK-theory ofFand use these maps to construct Euler systems in the even QuillenK-theory ofF. The Stickelberger splitting maps give an immediate proof of the annihilation by higher Stickelberger elements of the subgroupsof divisible elements of, for alland all odd primesl. This generalizes the results of Banaszak (1992), which only deals with CM abelian extensions of.

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The Stickelberger splitting map and Euler systems in theK-theory of number fields

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