Abelian 2-class field towers over the cyclotomic ℤ2-extensions of imaginary quadratic fields

Yasushi Mizusawa, Manabu Ozaki

研究成果: Article

5 引用 (Scopus)

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For the cyclotomic ℤ2-extension k of an imaginary quadratic field k, we consider whether the Galois group G(k) of the maximal unramified pro-2-extension over k is abelian or not. The group G(k) is abelian if and only if the nth layer of the ℤ2-extension has abelian 2-class field tower for all n ≥ 1. The purpose of this paper is to classify all such imaginary quadratic fields k in part by using Iwasawa polynomials.

元の言語English
ページ(範囲)437-453
ページ数17
ジャーナルMathematische Annalen
347
発行部数2
DOI
出版物ステータスPublished - 2010 1 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)

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