Unit indices of some imaginary composite quadratic fields. II
type: Item
instance of: scholarly article
title: Unit indices of some imaginary composite quadratic fields. II
zbMATH Open document ID: 0849.11084
author: Mikihito Hirabayashi
published in: Pacific Journal of Mathematics
publication date: 1996-08-29T00:00:00Z
review text: [For Part I, cf. Pac. J. Math. 164, 87-104 (1994; Zbl 0796.11049).] Let \(K\) be an imaginary abelian number field of type \((2, 2, 2, 2)\) containing the 8-th cyclotomic field \(\mathbb{Q} (\sqrt {-1}, \sqrt {2})\). Using the fundamental units of real quadratic subfields of \(K\), we give a necessary and sufficient condition for the unit index \(Q_K\) of \(K\) to be equal to 2.
Mathematics Subject Classification ID: 11R27
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R20
zbMATH DE Number: 910278
zbMATH Keywords: imaginary abelian field
zbMATH Keywords: real quadratic subfields
zbMATH Keywords: unit index
MaRDI profile type: Publication
full work available at URL: pjm.1996.173.93
OpenAlex ID: W4243897417
DOI: 10.2140/PJM.1996.173.93
description: scientific article; zbMATH DE number 910278