Annihilators of the Ideal Class Group of a Cyclic Extension of an Imaginary Quadratic Field

被引：1

作者：

Chapdelaine, Hugo ^{[1
]}

Kucera, Radan ^{[2
]}

机构：

[1] Laval Univ, Fac Sci & Engn, Quebec City, PQ G1V 0A6, Canada

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

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2019年 / 71卷 / 06期

关键词：

annihilator; class group; elliptic unit; PRIME POWER DEGREE; EULER SYSTEMS; UNITS;

D O I：

10.4153/CJM-2018-035-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study the group of elliptic units of a cyclic extension L of an imaginary quadratic field K such that the degree [L : K] is a power of an odd prime p. We construct an explicit root of the usual top generator of this group, and we use it to obtain an annihilation result of the p-Sylow subgroup of the ideal class group of L.

引用

页码：1395 / 1419

页数：25

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