Imaginary quadratic fields with Cl2(k)≃(2,2,2)

被引：19
|
作者：
Benjamin, E
Lemmermeyer, F
Snyder, C
机构：
[1] CSU San Marcos, Dept Math, San Marcos, CA 92096 USA
[2] Unity Coll, Dept Math, Unity, ME 04988 USA
[3] Univ Maine, Dept Math & Stat, Orono, ME 04469 USA
[4] Res Inst Math, Orono, ME USA
来源：
JOURNAL OF NUMBER THEORY | 2003年 / 103卷 / 01期
关键词：
D O I：
10.1016/S0022-314X(03)00084-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize those imaginary quadratic number fields, k, with 2-class group of type (2, 2, 2) and with the 2-rank of the class group of its Hilbert 2-class field equal to 2. We then compute the length of the 2-class field tower of k. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：38 / 70
页数：33
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