A non-abelian Stickelberger theorem

Details A non-abelian Stickelberger theorem A non-abelian Stickelberger theorem

2008-12-19

arxiv.org/abs/0812.3787v4

Mathematics

Number Theory

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

Scientific paper

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.

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