REAL QUADRATIC NUMBER FIELDS WITH METACYCLIC HILBERT 2-CLASS FIELD TOWER

被引：4

作者：

Essahel, Said ^{[1
]}

Dakkak, Ahmed ^{[1
]}

Mouhib, Ali ^{[1
]}

机构：

[1] Sidi Mohammed Ben Abdellah Univ, Sci & Engn Lab, Polydisciplinary Fac Taza, Taza Gare PB 1223, Taza, Morocco

来源：

MATHEMATICA BOHEMICA | 2019年 / 144卷 / 02期

关键词：

class field tower; class group; real quadratic number field; metacyclic group; RANK;

D O I：

10.21136/MB.2018.0102-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We begin by giving a criterion for a number field K with 2-class group of rank 2 to have a metacyclic Hilbert 2-class field tower, and then we will determine all real quadratic number fields Q(root d) that have a metacyclic nonabelian Hilbert 2-class field tower.

引用

收藏

页码：177 / 190

页数：14

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