Galois groups over rational function fields over skew fields

DOI10.5802/crmath.20zbMath1477.12001arXiv2002.10300OpenAlexW3106365040MaRDI QIDQ2213057

Elad Paran, François Legrand, Gil Alon

Publication date: 27 November 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10300

zbMATH Keywords

skew fieldample field(regular) inverse Galois problem

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Skew fields, division rings (12E15)

Related Items (7)

Finite embedding problems over noncommutative fields ⋮ On a variant of the Beckmann–Black problem ⋮ On Galois extensions of division rings of Laurent series ⋮ Inverse Galois theory over fields of twisted rational fractions ⋮ Unnamed Item ⋮ On finite embedding problems with abelian kernels ⋮ A note on finite embedding problems with nilpotent kernel

Cites Work

• Theory of non-commutative polynomials
• Embedding problems over large fields
• Random Galois extensions of Hilbertian fields
• A quaternionic Nullstellensatz
• Inverse Galois problem over the skew field of rational fractions with central indeterminate
• On the fundamental theorem of algebra for polynomial equations over real composition algebras
• Algebraic Patching
• On the Zeros of Polynomials over Division Rings
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• Unnamed Item
• Unnamed Item
• Unnamed Item

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