Ultrasolvable covering of the group \(\mathbb Z_2\) by the groups \(\mathbb Z_8\), \(\mathbb Z_{16}\), and \(\mathbb Q_8\)

DOI10.1007/S10958-016-3125-2zbMath1366.12003OpenAlexW2540439625MaRDI QIDQ503910

D. D. Kiselev

Publication date: 24 January 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3125-2

zbMATH Keywords

Brauer groupGalois embedding problemultrasolvable embedding problem

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12) Brauer groups (algebraic aspects) (16K50)

Related Items (1)

On quadratic subfields of generalized quaternion extensions

Cites Work

• The compatibility condition for the embedding problem related to \(p\)-extension of groups
• The universally solvable embedding problem with cyclic kernel of order 8
• The universally solvable embedding problem with cyclic kernel
• Ultrasolvability and singularity in the embedding problem
• Examples of embedding problems the only solutions of which are fields
• ABSTRACT PROPERTIES OF THE SIMPLE SPORADIC GROUPS
• ON THE SEMIDIRECT IMBEDDING PROBLEM WITH NILPOTENT KERNEL
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