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Central extension of \(S_n\) as Galois groups of regular extensions of \(\mathbb{Q}(T)\)

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Publication:1175753
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DOI10.1016/0021-8693(91)90161-ZzbMath0824.12002MaRDI QIDQ1175753

Jack Sonn

Publication date: 25 June 1992

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



Mathematics Subject Classification ID

Inverse Galois theory (12F12)


Related Items (3)

On geometric embedding problems and semiabelian groups ⋮ Polynomials with roots in ℚ_{𝕡} for all 𝕡 ⋮ Construction of \(2^mS_n\)-fields containing a \(C_{2^m}\)-field



Cites Work

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


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