Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771686 | Journal of Algebra | 2018 | 29 Pages |
Abstract
Given a central simple algebra with involution over an arbitrary field, étale subalgebras contained in the space of symmetric elements are investigated. The method emphasizes the similarities between the various types of involutions and privileges a unified treatment for all characteristics whenever possible. As a consequence a conceptual proof of a theorem of Rowen is obtained, which asserts that every division algebra of exponent two and degree eight contains a maximal subfield that is a triquadratic extension of the centre.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Karim Johannes Becher, Nicolas Grenier-Boley, Jean-Pierre Tignol,