A non-abelian Stickelberger theorem

David Burns, Henri Johnston

Published 2008-12-19, updated 2010-03-11Version 4

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.