Central extensions of \(S_ n\) as Galois groups via trinomials

DOI10.1016/0021-8693(89)90168-3zbMath0697.12008OpenAlexW2025452104MaRDI QIDQ911649

Jack Sonn

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90168-3

zbMATH Keywords

embedding problemtrinomialscentral extension of symmetric group

Mathematics Subject Classification ID

Galois theory (11R32)

Related Items (1)

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 \(\text{Tr}(x^ 2)\)
• Konstruktive Galoistheorie. (Constructive Galois theory)
• Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields
• On stem extensions of \(S_ n\) as Galois group over number fields
• Double covers of the symmetric groups as Galois groups over number fields
• Central extensions of symmetric groups as Galois groups
• G-closed fields and imbeddings of quadratic number fields
• On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)
• SL(2,5) and Frobenius Galois Groups Over Q
• Zum Einbettungsproblem.

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