Are \(p\)-algebras having cyclic quadratic extensions necessarily cyclic?

DOI10.1006/jabr.1998.7734zbMath0932.16012OpenAlexW1968352468MaRDI QIDQ1291116

Louis Halle Rowen

Publication date: 15 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7734

zbMATH Keywords

quadratic extensionsdivision \(p\)-algebrasgeneric presentationsnon-cyclic \(p\)-algebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Finite-dimensional division rings (16K20)

Related Items (2)

Splitting fields for \(E_8\)-torsors ⋮ Open problems on central simple algebras.

Cites Work

• Unnamed Item
• New results on associative division algebras
• A note on certain cyclic algebras
• Sur la corestriction des p-symboles
• Dihedral Algebras are Cyclic
• On associative division algebras
• A note on normal division algebras of prime degree

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