A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower

被引：0
作者：
A. Mouhib
机构：
[1] Université Mohammed Ben Abdellah,
[2] Fes LSI,undefined
[3] Sciences and Engineering Laboratory,undefined
[4] Polydisciplinary Faculty of Taza,undefined
来源：
The Ramanujan Journal | 2016年 / 40卷
关键词：
Class group; Class field tower; Quadratic number fields; 11R29; 11R32; 11R37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that a positive proportion of real and imaginary quadratic number fields with 2-class rank equal to 2 have 4-rank equal to 1 or 2 and infinite Hilbert 2-class field tower.
引用
收藏
页码：405 / 412
页数：7
相关论文
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