On Greenberg's conjecture for certain real biquadratic fields

被引：1

作者：

El Mahi, Abdelakder ^{[1
]}

Ziane, M'hammed ^{[1
]}

机构：

[1] Mohammed First Univ, Fac Sci, Dept Math, Oujda, Morocco

来源：

PERIODICA MATHEMATICA HUNGARICA | 2024年 / 88卷 / 02期

关键词：

Iwasawa theory; Z(2)-extension; Real biquadratic field; 2-Class group; Class field theory; Units; IDEALS;

D O I：

10.1007/s10998-023-00560-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give the structure of the Iwasawa module X = X(k(infinity))of the Z(2)-extensionof infinitely many real biquadratic fields k. Denote by lambda, mu and nu the Iwasawa invariants of the cyclotomic Z(2)-extension of k. Then lambda = mu = 0 and nu = 2.

引用

页码：475 / 483

页数：9

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