The Capitulation Problem for Certain Cyclic Quartic Number Fields

被引：0

作者：

Azizi, Abdelmalek ^{[1
,2
]}

Jerrari, Idriss ^{[1
,2
]}

Talbi, Mohammed ^{[1
,3
]}

机构：

[1] Mohammed First Univ, Oujda, Morocco

[2] Mohammed First Univ, Dept Math & Comp Sci, Fac Sci, Oujda, Morocco

[3] Reg Ctr Educ & Training, Oujda, Morocco

来源：

TOKYO JOURNAL OF MATHEMATICS | 2016年 / 39卷 / 02期

关键词：

Cyclic quartic field; Capitulation; BIQUADRATIC FIELDS; 2-CLASS GROUP;

D O I：

10.3836/tjm/1484903127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a cyclic quartic number field such that its 2-class group is of type (2, 4), K-2((1)) be the Hilbert 2-class field of K, K-2((2)) be the Hilbert 2-class field of K-2((1)) and G = Gal(K-2((2))/K) be the Galois group of K-2((2))/K. Our goal is to study the capitulation problem of 2-ideal classes of K and to determine the structure of G.

引用

页码：351 / 359

页数：9

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