Witt rings and the quaternion group
type: Item
instance of: scholarly article
title: Witt rings and the quaternion group
zbMATH Open document ID: 0913.11019
author: Roger Ware
published in: Manuscripta Mathematica
publication date: 1999-05-20T00:00:00Z
review text: Let \(F\) be a formally real field having at most a finite number of orderings. This article examines the structure of the Witt ring of \(F\) and the maximal pro-2 Galois group of \(F\) in the case when \(F\) admits no quaternionic Galois extension. This extends earlier work of the author where the case of a field having at most one ordering and no quaternionic Galois extensions was considered. Finally, the author obtains an appropriate analogue for the case of an odd prime \(p\), where \(F\) contains a primitive \(p\)th root of unity and \(| F/F^p| > p\).
Mathematics Subject Classification ID: 11E81
Mathematics Subject Classification ID: 12F10
Mathematics Subject Classification ID: 20D06
zbMATH DE Number: 1203623
zbMATH Keywords: Witt rings
zbMATH Keywords: Galois groups
zbMATH Keywords: quaternion group
zbMATH Keywords: formally real field
MaRDI profile type: Publication
full work available at URL: s002290050067
OpenAlex ID: W2029537060
DOI: 10.1007/S002290050067
description: scientific article; zbMATH DE number 1203623