A capitulation problem and Greenberg's conjecture on real quadratic fields

T. Fukuda, Keiichi Komatsu

研究成果: Article

6 引用 (Scopus)

抄録

We give a sufficient condition in order that an ideal of a real quadratic field F capitulates in the cyclotomic ℤ3-extension of F by using a unit of an intermediate field. Moreover, we give new examples of F's for which Greenberg's conjecture holds by calculating units of fields of degree 6, 18, 54 and 162.

元の言語English
ページ(範囲)313-318
ページ数6
ジャーナルMathematics of Computation
65
発行部数213
DOI
出版物ステータスPublished - 1996 1
外部発表Yes

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Real Quadratic Fields
Unit
Cyclotomic
Sufficient Conditions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics
  • Computational Mathematics

これを引用

A capitulation problem and Greenberg's conjecture on real quadratic fields. / Fukuda, T.; Komatsu, Keiichi.

:: Mathematics of Computation, 巻 65, 番号 213, 01.1996, p. 313-318.

研究成果: Article

Fukuda, T. ; Komatsu, Keiichi. / A capitulation problem and Greenberg's conjecture on real quadratic fields. :: Mathematics of Computation. 1996 ; 巻 65, 番号 213. pp. 313-318.
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