\(\mathbb Q\)-admissibility questions for alternating groups

DOI10.1016/0021-8693(91)90312-VzbMath0751.20032MaRDI QIDQ1178923

Burton Fein, Murray M. Schacher

Publication date: 26 June 1992

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

zbMATH Keywords

crossed productsalternating groupsdivision ringsgeneralized \(Q\)-admissible

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Representations of groups as automorphism groups of algebraic systems (20F29) Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35)

Related Items

Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Admissibility and field relations ⋮ \(K\)-admissibility of \(A_ 6\) and \(A_ 7\) ⋮ The \(K\)-admissibility of \(2A_ 6\) and \(2A_ 7\) ⋮ Polynomials without roots in division algebras

Cites Work

• A generalization of \({\mathbb{Q}}\)-admissibility
• Examples of some \({\mathbb{Q}}\)-admissible groups
• The admissibility of \(A_5\)
• Rational division algebras as solvable crossed products
• Generic Galois extensions and problems in field theory
• Sylow-metacyclic groups and Q-admissibility
• Subfields of division rings. I
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