Division algebras of exponent 2 and characteristic 2
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.
scientific article; zbMATH DE number 3873539