Ultrasoluble coverings of some nilpotent groups by a cyclic group over number fields and related questions

DOI10.1070/IM8636zbMath1425.12003OpenAlexW2758641267MaRDI QIDQ4576050

D. D. Kiselev

Publication date: 12 July 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8636

zbMATH Keywords

embedding probleminverse Galois problemultrasoluble

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Brauer groups (algebraic aspects) (16K50)

Related Items (2)

Minimalp-extensions and the embedding problem ⋮ On quadratic subfields of generalized quaternion extensions

Cites Work

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• Universally solvable embedding problems
• Subgroups of the Nottingham group
• Automorphisms of the Nottingham group
• Ultrasolvability and singularity in the embedding problem
• Explicit embeddings of finite abelian \(p\)-groups in the group \(\mathcal J(\mathbb F_p)\).
• Ultrasolvable embedding problems for number fields
• Examples of embedding problems the only solutions of which are fields
• On ultrasolvable embedding problems with cyclic kernel
• THE EMBEDDING PROBLEM WITH GIVEN LOCALIZATIONS
• ON THE SEMIDIRECT IMBEDDING PROBLEM WITH NILPOTENT KERNEL

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