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Fields Q(i,2,p1,…,pn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{Q}(i, \sqrt{2},\sqrt{p_1},\ldots ,\sqrt{p_n})$$\end{document} with cyclic 2-class group
被引：0
作者：
S. Essahel
A. Mouhib
机构：
[1] Science and Engineering Laboratory,Sidi Mohammed Ben Abdellah University
[2] Polydisciplinary Faculty of Taza,undefined
关键词：
class field;
class group;
multiquadratic number field;
unit;
fundamental system of units;
Iwasawa invariant;
-extension;
11R11;
11R21;
11R23;
11R29;
11R37;
D O I：
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学科分类号：
摘要：
Let n\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$n$$\end{document} be an integer ≥1\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\geq 1$$\end{document} and p1\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$p_1$$\end{document}, . . . , pn\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$p_n$$\end{document} distinct odd prime integers. In this article, we give the list of all imaginary multiquadratic number fields
Kn=Q(i,2,p1,…,pn)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$ K_n=\mathbb{Q}(i,\sqrt 2,\sqrt{p_1},\ldots ,\sqrt{p_n})$$\end{document} that have a cyclic 2-class group.
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页码：499 / 509
页数：10
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