Inverse Galois theory over fields of twisted rational fractions

DOI10.1016/j.jpaa.2020.106549zbMath1473.12002arXiv2008.02587OpenAlexW3089805712MaRDI QIDQ2207259

Angelot Behajaina

Publication date: 22 October 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02587

zbMATH Keywords

Inverse Galois Problem, skew field, ample field, skew Laurent series fields, profree group

Mathematics Subject Classification ID

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

Related Items (9)

Finite embedding problems over noncommutative fields ⋮ On a variant of the Beckmann–Black problem ⋮ On Galois extensions of division rings of Laurent series ⋮ Extensions algébriques maximales de corps gauches ⋮ Arithmetic of interior extensions ⋮ Unnamed Item ⋮ The Behajaina method applied to the bodies of fractions twisted by a derivation ⋮ On finite embedding problems with abelian kernels ⋮ A note on finite embedding problems with nilpotent kernel

Cites Work

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• Embedding problems over large fields
• Galois groups over rational function fields over skew fields
• Inverse Galois problem over the skew field of rational fractions with central indeterminate
• Algebraic Patching
• Field Arithmetic
• Corps [psi-libres et théorie inverse de Galois infinie]
• On fields of totally $S$-adic numbers
• Des extensions plus petites que leurs groupes de Galois

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