Embedding obstructions for the generalized quaternion group

DOI10.1006/jabr.1999.8190zbMath0973.12003OpenAlexW1994264433MaRDI QIDQ1975914

Ivo M. Michailov, Nikola P. Ziapkov

Publication date: 4 December 2001

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

Full work available at URL: https://semanticscholar.org/paper/05f8782ff35b64b65c9feae3c02bf62d74e1d5bc

zbMATH Keywords

inverse Galois theoryembedding problemquaternion groups

Mathematics Subject Classification ID

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

Related Items (4)

Galois realizability of groups of orders \(p^5\) and \(p^6\) ⋮ On Galois cohomology and realizability of 2-groups as Galois groups. II ⋮ On Galois cohomology and realizability of 2-groups as Galois groups ⋮ Embedding obstructions for the dihedral, semidihedral, and quaternion 2-groups

Cites Work

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• Quaternionic compositum genus
• Embedding problems with cyclic kernel of order 4
• Groups of order 16 as Galois groups
• A Note on the Quaternion Group as Galois Group
• Constructing quaternionic fields
• Automatic realizability of Galois groups of order 16
• On 2-Groups as Galois Groups
• Explicit Classifications of Some 2-Extensions of a Field of Characteristic Different from 2
• Zwei Reduktionssätze zum Einbettungsproblem für abelsche Algebren

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