On Greenberg’s conjecture for certain real biquadratic fields

IF 0.6 3区数学 Q3 MATHEMATICS

Periodica Mathematica Hungarica Pub Date : 2023-12-09 DOI:10.1007/s10998-023-00560-3

Abdelakder El Mahi, M’hammed Ziane

引用次数: 0

Abstract

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

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关于格林伯格对某些实双曲域的猜想

在本文中，我们给出了无穷多个实双四元数域 k 的 \(\mathbb {Z}_{2}\) 扩展的岩泽模块 \(X=X(k_{\infty })\) 的结构。用\(\lambda , \mu \)和\(\nu \)表示k的环（\mathbb {Z}_{2}}）-外延的岩泽不变式，那么\(\lambda =\mu =0 \)和\(\nu =2\).

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Periodica Mathematica Hungarica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Periodica Mathematica Hungarica is devoted to publishing research articles in all areas of pure and applied mathematics as well as theoretical computer science. To be published in the Periodica, a paper must be correct, new, and significant. Very strong submissions (upon the consent of the author) will be redirected to Acta Mathematica Hungarica. Periodica Mathematica Hungarica is the journal of the Hungarian Mathematical Society (János Bolyai Mathematical Society). The main profile of the journal is in pure mathematics, being open to applied mathematical papers with significant mathematical content.