Relative Embedding Problems

DOI10.1090/S0002-9947-00-02625-8zbMath0991.12003OpenAlexW1581717273MaRDI QIDQ2706615

Elena V. Black, John R. Swallow

Publication date: 20 March 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02625-8

zbMATH Keywords

inverse Galois theoryobstructionsmetacyclic \(p\)-groupsdihedral groupsreduction theoremabelian kernelrelative embedding problems

Mathematics Subject Classification ID

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

Cites Work

• Zur Existenz eigentlicher galoisscher Körper beim Einbettungsproblem für galoissche Algebren
• Embedding problems with cyclic kernel of order 4
• Presentations of metacyclic \(p\)-groups with applications to \(K\)- admissibility questions
• Solutions to central embedding problems are constructible
• Groups of order 16 as Galois groups
• Separable algebras over commutative rings
• Deformations of dihedral 2-group extensions of fields
• On Cyclic Field Extensions of Degree 8.
• Zum Einbettungsproblem.
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