Dihedral Algebras are Cyclic

DOI10.2307/2043656zbMath0492.16022OpenAlexW4249490236MaRDI QIDQ3953937

David J. Saltman, Louis Halle Rowen

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043656

zbMATH Keywords

centerdihedral groupGalois extensioncyclic algebrasimple algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Separable extensions, Galois theory (12F10) Division rings and semisimple Artin rings (16Kxx)

Related Items

Sklyanin algebras and their symbols, Galois cohomology of fields without roots of unity, Symbol length in the Brauer group of a field, The de Rham Witt complex, cohomological kernels and \(p^{m}\)-extensions in characteristic \(p\), Bimodule structure of central simple algebras, Relative Brauer groups of genus 1 curves, All dihedral division algebras of degree five are cyclic, Unnamed Item, Algebras of odd degree with involution, trace forms and dihedral extensions, Semidirect product division algebras, Associative rings, Open problems on central simple algebras., Dihedral Algebras are Cyclic, Brauer class over the Picard scheme of totally degenerate stable curves, Relative Brauer groups in characteristic 𝑝, Kummer subfields of Malcev-Neumann division algebras

Cites Work

• A note on normal division algebras of prime degree
• Unnamed Item