Dihedral Algebras are Cyclic

DOI10.2307/2045984zbMath0624.16008OpenAlexW4252329211MaRDI QIDQ3762460

Pasquale Mammone, Jean-Pierre E. Tignol

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2045984

zbMATH Keywords

cyclic extensionGalois extensionprimitive rootsymbolsfieldcorestrictiondihedral Galois groupcentral simple F-algebra

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Skew fields, division rings (12E15) Division rings and semisimple Artin rings (16Kxx)

Related Items

All dihedral division algebras of degree five are cyclic, Semidirect product division algebras, Open problems on central simple algebras., Relative Brauer groups in characteristic 𝑝, Are \(p\)-algebras having cyclic quadratic extensions necessarily cyclic?

Cites Work

• Unnamed Item
• Dihedral Algebras are Cyclic
• A note on normal division algebras of prime degree