Minimalp-extensions and the embedding problem

DOI10.1080/00927872.2017.1324869zbMath1386.12005OpenAlexW2613977255MaRDI QIDQ4640141

D. D. Kiselev

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1324869

zbMATH Keywords

embedding problemconcordance conditionminimal group extensionsultrasolvability phenomenon

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items (2)

Ultrasolvable and Sylow extensions with cyclic kernel ⋮ Metacyclic 2-extensions with cyclic kernel and ultrasolvability questions

Cites Work

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• The universally solvable embedding problem with cyclic kernel
• Explicit embeddings of finite abelian \(p\)-groups in the group \(\mathcal J(\mathbb F_p)\).
• Examples of embedding problems the only solutions of which are fields
• On ultrasolvable embedding problems with cyclic kernel
• ON THE SEMIDIRECT IMBEDDING PROBLEM WITH NILPOTENT KERNEL
• Ultrasoluble coverings of some nilpotent groups by a cyclic group over number fields and related questions
• On 2-Groups as Galois Groups
• Classification of Demushkin Groups
• Powers of elements of the series substitution group \(\mathcal J(\mathbb Z_2)\).

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