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Splitting fields of central simple algebras of exponent two

Journal Contribution - Journal Article

By Merkurjev's Theorem every central simple algebra of exponent two is Brauer equivalent to a tensor product of quaternion algebras. In particular, if every quaternion algebra over a given field is split, then there exists no central simple algebra of exponent two over this field. This note provides an independent elementary proof for the latter fact. (C) 2016 Elsevier B.V. All rights reserved.
Journal: Journal of pure and applied algebra
ISSN: 0022-4049
Volume: 220
Pages: 3450 - 3453
Publication year:2016
Keywords:A1 Journal article
BOF-keylabel:yes
BOF-publication weight:1
CSS-citation score:1
Authors from:Higher Education
Accessibility:Closed