A non-abelian Stickelberger theorem

被引：11

作者：

Burns, David ^{[1
]}

Johnston, Henri ^{[2
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Univ Cambridge, St Johns Coll, Cambridge CB2 1TP, England

来源：

COMPOSITIO MATHEMATICA | 2011年 / 147卷 / 01期

关键词：

equivariant L-values; class groups; TAMAGAWA NUMBER CONJECTURE; VALUES; UNITS; COHOMOLOGY; EXTENSIONS; INTEGERS; FIELDS;

D O I：

10.1112/S0010437X10004859

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：35 / 55

页数：21