Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields

DOI10.1016/0021-8693(88)90301-8zbMath0648.12006OpenAlexW2129314823MaRDI QIDQ1104976

Jack Sonn

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90301-8

zbMATH Keywords

Frobenius group realizable as Galois groupsymmetric group \(S_5\)

Mathematics Subject Classification ID

Galois theory (11R32)

Related Items (5)

Induced Hopf Galois structures ⋮ Double covers of the symmetric groups as Galois groups over number fields ⋮ Central extensions of symmetric groups as Galois groups ⋮ Central extensions of \(S_ n\) as Galois groups via trinomials ⋮ Central extension of \(S_n\) as Galois groups of regular extensions of \(\mathbb{Q}(T)\)

Cites Work

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• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Examples of some \({\mathbb{Q}}\)-admissible groups
• \({\mathbb{Q}}\)-admissibility of certain nonsolvable groups
• Sylow-metacyclic groups and Q-admissibility
• Frobenius Galois groups over quadratic fields
• On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)
• Subfields of division rings. I
• Cohomological topics in group theory.
• Q-admissibility of sylow-metacyclic groups as quotient group
• SL(2,5) and Frobenius Galois Groups Over Q
• Zum Einbettungsproblem.

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