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

页码：38 / 70

页数：33

共 30 条

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[Anonymous], ALGEBRAIC NUMBER THE

[2]

Benjamin E, 1996, HOUSTON J MATH, V22, P11

[3] Refined lower bounds on the 2-class number of the Hilbert 2-class field of imaginary quadratic number fields with elementary 2-class group of rank 3 [J].