Division algebras of exponent 2 and characteristic 2

DOI10.1016/0021-8693(84)90199-6zbMath0548.16020OpenAlexW1982288633MaRDI QIDQ799780

Louis Halle Rowen

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90199-6

zbMATH Keywords

Galois groupcharacteristic 2simple algebradegree 8tensor product of quaternions

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Related Items

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras, Splitting fields of central simple algebras of exponent two, Produits croisés mixtes: extensions de groupes et extensions d'anneaux, Splitting quaternion algebras defined over a finite field extension, Torsion in \(\text{CH}^ 2\) of Severi-Brauer varieties and indecomposability of generic algebras, Involutions and stable subalgebras, Generalised quadratic forms and the \(u\)-invariant, Triple Massey products and absolute Galois groups, Essential dimension of central simple algebras of degree 8 and exponent 2 in characteristic 2, Symbol length in positive characteristic, On totally decomposable algebras with involution in characteristic two., Essential Dimension, Symbol Length and -rank, Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products., Essential dimension of simple algebras in positive characteristic., Open problems on central simple algebras.

Cites Work

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• Cyclic division algebras
• A structure theory for Jordan algebras
• On p-Power Central Polynomials
• Splittings of Cyclic p-Algebras
• Division algebras of degree 4 and 8 with involution