On universal nilpotent groups

DOI10.1007/BF01236866zbMath0673.20014OpenAlexW1976556655MaRDI QIDQ1120674

Berthold J. Maier

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01236866

zbMATH Keywords

torsion free nilpotent groupsexistentially closed groupsclasses of nilpotent groupscountable universal groupslocally finite nilpotent groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Models with special properties (saturated, rigid, etc.) (03C50)

Related Items (1)

On nilpotent groups on exponent p

Cites Work

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• Amalgams of torsion free nilpotent groups
• On countable locally described structures
• Periodic existentially closed nilpotent groups
• Nonexistence of a universal countable commutative ring
• On universal nilpotent groups of class two
• Interpreting number theory in nilpotent groups
• Algebraically closed torsion-free nilpotent groups of class 2

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