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

T. Fukuda, Keiichi Komatsu

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)313-318
Number of pages6
JournalMathematics of Computation
Volume65
Issue number213
DOIs
Publication statusPublished - 1996 Jan
Externally publishedYes

Fingerprint

Real Quadratic Fields
Unit
Cyclotomic
Sufficient Conditions

Keywords

  • Computation
  • Iwasawa invariants
  • Real quadratic fields unit groups

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics
  • Computational Mathematics

Cite this

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

In: Mathematics of Computation, Vol. 65, No. 213, 01.1996, p. 313-318.

Research output: Contribution to journalArticle

Fukuda, T. ; Komatsu, Keiichi. / A capitulation problem and Greenberg's conjecture on real quadratic fields. In: Mathematics of Computation. 1996 ; Vol. 65, No. 213. pp. 313-318.
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