On existentially closed and generic nilpotent groups

DOI10.1007/BF02761950zbMath0539.03015MaRDI QIDQ793715

Berthold J. Maier

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

torsion subgroupexistentially closed nilpotent groupfinitely generic nilpotent groupinfinitely generic nilpotent groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

On countable locally described structures ⋮ Groupes nilpotents existentiellement clos de classe fixée

Cites Work

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• Periodic existentially closed nilpotent groups
• Existenziell abgeschlossene lokal endliche p-Gruppen
• Forcing, arithmetic, division rings
• Existentially complete nilpotent groups
• Nilpotent groups
• Interpreting number theory in nilpotent groups
• Einbettung von nilpotenten gruppen zur erzeugung von kommutatorrelationen
• Wreath Products and Existentially Complete Solvable Groups
• Algebraically closed torsion-free nilpotent groups of class 2
• Existentially complete torsion-free nilpotent groups
• Model-completions and modules
• A Note on Algebraically Closed Groups

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