Division algebra counterexamples of degree 8

DOI10.1007/BF02761848zbMath0526.16009WikidataQ124986272 ScholiaQ124986272MaRDI QIDQ594975

Louis Halle Rowen

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

crossed productsimple algebraelementary abelian Galois groupGalois splitting fieldgeneric indecomposable division algebra of index 8 and exponent 4

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Automorphisms and endomorphisms (16W20) Division rings and semisimple Artin rings (16Kxx)

Related Items

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras, Produits croisés mixtes: extensions de groupes et extensions d'anneaux, Cyclic division algebras, Unnamed Item, Associative rings, Open problems on central simple algebras., A New Construction of Noncrossed Product Algebras

Cites Work

• Unnamed Item
• Central simple algebras with involution viewed through centralizers
• Generic Abelian crossed products and \(p\)-algebras
• Central simple algebras
• On central division algebras
• A construction of non-cyclic normal division algebras
• Division algebras of degree 4 and 8 with involution