Division algebras of exponent 2 and characteristic 2
type: Item
instance of: scholarly article
title: Division algebras of exponent 2 and characteristic 2
zbMATH Open document ID: 0548.16020
DOI: 10.1016/0021-8693(84)90199-6
published in: Journal of Algebra
publication date: 1984-01-01T00:00:00Z
review text: The author continues Streb's investigation, proving the following results in characteristic 2: Any simple algebra R of degree 8 and exponent 2 has a maximal subfield Galois over the center with Galois group \(Z_ 2\times Z_ 2\times Z_ 2\), and \(M_ 2(R)\) is a tensor product of quaternions (theorem 1 and theorem 2). Moreover, there is a division algebra of degree 8 and exponent 2 which is not a tensor product of quaternions.
Mathematics Subject Classification ID: 16K20
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16W10
zbMATH DE Number: 3873539
zbMATH Keywords: characteristic 2
zbMATH Keywords: simple algebra
zbMATH Keywords: degree 8
zbMATH Keywords: Galois group
zbMATH Keywords: tensor product of quaternions
author: Louis Rowen
MaRDI profile type: Publication
full work available at URL: 0021-8693(84)90199-6
OpenAlex ID: W1982288633
cites work: A structure theory for Jordan algebras
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cites work: Division algebras of degree 4 and 8 with involution
description: scientific article; zbMATH DE number 3873539