Embedding problems with cyclic kernel of order 4

DOI10.1007/BF02773463zbMath0913.12004MaRDI QIDQ1269763

Arne Ledet

Publication date: 17 January 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Galois groupssolvabilityGalois extensionGalois embedding problemBrauer type embedding problemscyclic kernel of order 4

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items (7)

Galois realizability of a central \(C_4\)-extension of \(D_8\) ⋮ Relative Embedding Problems ⋮ Embedding obstructions for the generalized quaternion group ⋮ QUADRATIC DESCENT FOR QUATERNION ALGEBRAS ⋮ On Galois cohomology and realizability of 2-groups as Galois groups ⋮ Realizability and automatic realizability of Galois groups of order 32 ⋮ Embedding obstructions for the dihedral, semidihedral, and quaternion 2-groups

Cites Work

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• Automatic realizability of Galois groups of order 16
• Cyclic Extensions of K(√-1)/K
• On 2-Groups as Galois Groups
• Explicit Classifications of Some 2-Extensions of a Field of Characteristic Different from 2
• Zum Einbettungsproblem.
• Konstruktion von galoisschen Körpern der Charakteristik p zu vorgegebener Gruppe der Ordnung pf.

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