Central extensions of symmetric groups as Galois groups

DOI10.1016/0021-8693(89)90158-0zbMath0679.12011OpenAlexW2015451462MaRDI QIDQ1124633

S. H. Smith

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)90158-0

zbMATH Keywords

inverse Galois problem\(\bar S_ 7\)central extension of \(S_ n\)

Mathematics Subject Classification ID

Galois theory (11R32) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (2)

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 \(\text{Tr}(x^ 2)\)
• The conjectures of Tate and Mordell
• \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
• Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields
• Double covers of the symmetric groups as Galois groups over number fields

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