Exponent reduction for radical Abelian algebras

DOI10.1006/jabr.1999.8057zbMath0955.16022OpenAlexW1987136646MaRDI QIDQ1970966

Jack Sonn, Eli Aljadeff

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8057

zbMATH Keywords

crossed productsradical Abelian algebrasradical Abelian extensions

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35) Brauer groups (algebraic aspects) (16K50)

Related Items

Projective Schur groups of iterated power series fields. ⋮ Division algebras with a projective basis ⋮ Exponent reduction for projective Schur algebras ⋮ Fields for which the projective Schur subgroup is the whole Brauer group

Cites Work

• Konstruktive Galoistheorie. (Constructive Galois theory)
• Einfache Algebren und projektive Darstellungen über Zahlkörpern
• Projective Schur division algebras are abelian crossed products
• Projective Schur algebras of nilpotent type are Brauer equivalent to radical algebras
• Projective Schur algebras have Abelian splitting fields
• On the projective Schur group of a field
• Abelian binomials, power residues and exponential congruences