Periodic existentially closed nilpotent groups

DOI10.1016/0021-8693(79)90199-6zbMath0673.03024OpenAlexW2094152293MaRDI QIDQ1120563

Dan Saracino, Carol Wood

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90199-6

zbMATH Keywords

model companionexistentially closed modelsalgebraically closed modelsf-generic modelsperiodic models

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Nilpotent groups (20F18) Model theory of denumerable and separable structures (03C15)

Related Items (11)

On countable locally described structures ⋮ On universal nilpotent groups ⋮ Groupes nilpotents existentiellement clos de classe fixée ⋮ Existentially Complete Abelian Lattice-Ordered Groups ⋮ Infinite groups ⋮ On nilpotent groups on exponent p ⋮ QE nil-2 groups of exponent 4 ⋮ On the structure of \(\aleph_0\)-categorical groups ⋮ On \(\aleph_ 0\)-categorical class two groups ⋮ On existentially closed and generic nilpotent groups ⋮ Model-theoretic and algorithmic questions in group theory

Cites Work

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• Forcing, arithmetic, division rings
• Existentially complete nilpotent groups
• A combinatorial problem; stability and order for models and theories in infinitary languages
• Permutational products of groups
• Algebraically closed torsion-free nilpotent groups of class 2
• Existentially complete torsion-free nilpotent groups

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