The admissibility of \(A_5\)

DOI10.1016/0022-314X(79)90029-5zbMath0422.12014OpenAlexW1972320432MaRDI QIDQ1133572

Basil Gordon, Murray M. Schacher

Publication date: 1979

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(79)90029-5

zbMATH Keywords

Brauer groupmaximal subfielddivision algebraextension of number fieldsK-adequate fieldK-admissible grouprealization as the Galois group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois theory (11R32) Brauer groups of schemes (14F22) Skew fields, division rings (12E15) Field extensions (12F99) Division rings and semisimple Artin rings (16Kxx)

Related Items

\(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields, Examples of some \({\mathbb{Q}}\)-admissible groups, Algebraic number fields, Q-admissibility of sylow-metacyclic groups as quotient group, Double covers of the symmetric groups as Galois groups over number fields, Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions, Rational division algebras as solvable crossed products, Sylow-metacyclic groups and Q-admissibility, \(\mathbb Q\)-admissibility questions for alternating groups, Open problems on central simple algebras., On the discriminant of a trinomial

Cites Work

• Subfields of division rings. I
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On \(p\)-adic fields and rational division algebras
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