A note on finite embedding problems with nilpotent kernel

DOI10.5802/jtnb.1215OpenAlexW3103977651MaRDI QIDQ2086422

Arno Fehm, François Legrand

Publication date: 25 October 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07536

zbMATH Keywords

inverse Galois theoryquaternionsdivision ringsglobal fieldsfinite embedding problems

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Skew fields, division rings (12E15) Field arithmetic (12E30)

Related Items (1)

On Galois extensions of division rings of Laurent series

Cites Work

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• On finite embedding problems with abelian kernels
• Finite embedding problems over noncommutative fields
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• Galois groups over rational function fields over skew fields
• Inverse Galois problem over the skew field of rational fractions with central indeterminate
• Field Arithmetic
• Solving embedding problems with bounded ramification
• Counting nilpotent Galois extensions
• On the Northcott property and local degrees
• Embedding problems with bounded ramification over global fields of positive characteristic
• Central Simple Algebras and Galois Cohomology

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