On the unit group and the 2-class number ofQ(√2,√p,√q)

被引：0

作者：

Chems-Eddin, Mohamed Mahmoud ^{[1
]}

El Hamam, Moha Ben Taleb ^{[1
]}

Hajjami, Moulay Ahmed ^{[2
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Dept Math, Fes, Morocco

[2] Moulay Ismail Univ Meknes, Fac Sci & Technol, Dept Math, Errachidia, Morocco

来源：

RAMANUJAN JOURNAL | 2024年 / 65卷 / 03期

关键词：

Real multiquadratic fields; Unit group; 2-class group; 2-class number; CAPITULATION; IDEALS; PARITY;

D O I：

10.1007/s11139-024-00947-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p equivalent to 1(mod 8) and q equivalent to 7(mod 8)be two prime numbers. The purpose of this paper is to compute the unit groups of the fields L=Q(root 2,root p,root q)and give their2-class numbers.

引用

页码：1475 / 1510

页数：36

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