On the maximal unramified pro-2-extension of Z2-extensions of certain real quadratic fields

JOURNAL OF NUMBER THEORY

卷:105

Article

Mizusawa, Y

关键词: Z(2)-extension;    class field tower;    real quadratic field;   

DOI  :  10.1016/j.jnt.2003.10.002

来源: Elsevier

【 摘 要 】

In this paper, we construct an infinite family of real quadratic fields k such that the maximal unramified pro-2-extension of the cyclotomic Z(2)-extension of k is a finite non-abelian extension. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

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