A non-abelian Stickelberger theorem

Abstract

Let L/k be a finite Galois extension of number fields with Galois group G. For every odd prime p satisfying certain mild technical hypotheses, we use values of Artin L-functions to construct an element in the centre of the group ring Z_(p)[G] that annihilates the p-part of the class group of L.

further revised; 22 pages. To appear in Compositio Mathematica.

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