Unramified quadratic extensions of a quadratic field
type: Item
instance of: scholarly article
title: Unramified quadratic extensions of a quadratic field
zbMATH Open document ID: 0842.11037
author: Blair K. Spearman
author: Kenneth S. Williams
published in: Rocky Mountain Journal of Mathematics
publication date: 1996-07-28T00:00:00Z
review text: The authors determine all quartic number fields \(L/\mathbb{Q}\) possessing a quadratic subfield \(\mathbb{Q}\subset K\subset L\) such that \(L/K\) is unramified at all finite primes. They do this by an explicit calculation of the generators and make no use of Hilbert's theory.
reviewed by: Franz Halter-Koch
Mathematics Subject Classification ID: 11R16
Mathematics Subject Classification ID: 11S15
zbMATH DE Number: 796901
zbMATH Keywords: unramified quadratic extensions
zbMATH Keywords: quartic number fields
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072249
OpenAlex ID: W2047745407
cites work: Q5521595
cites work: Q3996190
cites work: Integral bases for quartic fields with quadratic subfields
cites work: Normal relative integral bases for quartic fields over quadratic subfields
DOI: 10.1216/RMJM/1181072249
description: scientific article; zbMATH DE number 796901