On the structure of the Iwasawa module for Z2-extensions of certain real biquadratic fields

被引：0

作者：

El Mahi, A. ^{[1
]}

机构：

[1] Fac Sci, Oujda, Morocco

来源：

ACTA MATHEMATICA HUNGARICA | 2024年 / 174卷 / 01期

关键词：

Iwasawa theory; Z(2)-extension; real biquadratic field; 2-class group; class field theory; unit; CYCLOTOMIC Z(2)-EXTENSION; LAMBDA-INVARIANT; Q(ROOT-P); IDEALS;

D O I：

10.1007/s10474-024-01459-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an infinite family of real biquadratic fields k we give the structure of the Iwasawa module X = X(k(infinity)) of the Z(2)-extension of k. For these fields, we obtain that lambda = mu = 0 and nu = 2. where lambda, mu and nu are the Iwasawa invariants of the cyclotomic Z(2)-extension of k.

引用

页码：49 / 61

页数：13

共 20 条

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