EIGENSPACES OF THE IDEAL CLASS GROUP

被引：4

作者：

Greither, Cornelius ^{[1
]}

Kucera, Radan ^{[2
]}

机构：

[1] Univ Bundeswehr Munchen, Fak Informat, Inst Theoret Informat Math & OR, D-85577 Neubiberg, Germany

[2] Masaryk Univ, Fac Sci, CS-61137 Brno, Czech Republic

来源：

ANNALES DE L INSTITUT FOURIER | 2014年 / 64卷 / 05期

关键词：

Gras' conjecture; circular (cyclotomic) units; ideal class group; Euler system; annihilators of the class group; FIELDS; UNITS;

D O I：

10.5802/aif.2908

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to prove an analog of Gras' conjecture for an abelian field F and an odd prime p dividing the degree [F : Q] assuming that the p-part of Gal(F/Q) group is cyclic.

引用

页码：2165 / 2203

页数：39

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