All Infinite Groups are Galois Groups Over any Field

DOI10.2307/2000718zbMath0644.12011OpenAlexW4239107038MaRDI QIDQ3786552

Rüdiger Göbel, Manfred Dugas

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000718

zbMATH Keywords

inverse problem of Galois theory

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Separable extensions, Galois theory (12F10) Automorphisms of infinite groups (20E36) Representations of groups as automorphism groups of algebraic systems (20F29) Infinite automorphism groups (20B27) General field theory (12E99)

Related Items (7)

Automorphisms of fields and structures ⋮ Skew and infinitary formal power series ⋮ The existence of rigid measurable spaces ⋮ McLain groups over arbitrary rings and orderings ⋮ Torsion-free nilpotent groups and E-modules ⋮ Automorphisms of Torsion-Free Nilpotent Groups of Class Two ⋮ Unnamed Item

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