Albert division algebras in characteristic three contain cyclic cubic subfields
type: Item
instance of: scholarly article
title: Albert division algebras in characteristic three contain cyclic cubic subfields
zbMATH Open document ID: 1054.17026
author: Holger P. Petersson
published in: Archiv der Mathematik
publication date: 1999-01-01T00:00:00Z
review text: Let \(k\) be a field containing the third roots of unity. The author shows that every finite--dimensional absolutely simple nonsingular Jordan division algebra of degree three over \(k\) contains a cyclic cubic subfield. In particular, this holds for every Albert (exceptional central simple Jordan) division algebra over a field of characteristic \(3\).
Mathematics Subject Classification ID: 17C60
Mathematics Subject Classification ID: 12F20
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 17C40
Mathematics Subject Classification ID: 17C55
zbMATH DE Number: 1292445
zbMATH Keywords: division algebra
zbMATH Keywords: Jordan algebra
reviewed by: Harald Löwe
MaRDI profile type: Publication
full work available at URL: s000130050300
OpenAlex ID: W2036887834
DOI: 10.1007/S000130050300
description: scientific article; zbMATH DE number 1292445