Rational division algebras as solvable crossed products

DOI10.1007/BF02760966zbMath0453.16010MaRDI QIDQ1148973

Jack Sonn

Publication date: 1980

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

zbMATH Keywords

crossed productdivision algebrareduction theoremfinite solvable Sylow metacyclic group

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Group rings (16S34) Automorphisms and endomorphisms (16W20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Division rings and semisimple Artin rings (16Kxx)

Related Items

Admissibility and field relations ⋮ A generalization of \({\mathbb{Q}}\)-admissibility ⋮ Sylow-metacyclic groups and Q-admissibility ⋮ \(\mathbb Q\)-admissibility questions for alternating groups ⋮ The admissibility of \(M_{11}\) over number fields ⋮ Q-admissibility of solvable groups

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