On stem extensions of \(S_ n\) as Galois group over number fields

DOI10.1016/0021-8693(88)90205-0zbMath0662.12011OpenAlexW2094708217MaRDI QIDQ1113946

Núria Vila

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)90205-0

zbMATH Keywords

inverse problem of Galois theorystem extension of a finite group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois theory (11R32) Separable extensions, Galois theory (12F10) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (5)

Arithmetic behaviour of the sums of three squares ⋮ Central extensions of \(S_ n\) as Galois groups via trinomials ⋮ Explicit construction of \(2S_ n\) Galois extensions ⋮ On octahedral extensions of \(\mathbb Q\) and quadratic \(\mathbb Q\)-curves. ⋮ Central extension of \(S_n\) as Galois groups of regular extensions of \(\mathbb{Q}(T)\)

Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
• Arithmetic behaviour of the sums of three squares
• On central extensions of \(A_ n\) as Galois group over \({\mathbb{Q}}\)
• An arithmetic problem on the sums of three squares
• Zum Einbettungsproblem.
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