A non-abelian Stickelberger theorem
Number Theory
2019-02-20 v4
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.
Keywords
Cite
@article{arxiv.0812.3787,
title = {A non-abelian Stickelberger theorem},
author = {David Burns and Henri Johnston},
journal= {arXiv preprint arXiv:0812.3787},
year = {2019}
}
Comments
further revised; 22 pages. To appear in Compositio Mathematica.