Mekler's construction preserves \(CM\)-triviality

DOI10.1016/S0168-0072(01)00088-4zbMath1023.03027OpenAlexW1988316122MaRDI QIDQ1612483

Andreas Baudisch

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0168-0072(01)00088-4

zbMATH Keywords

nilpotent groupscanonical basessimple theories\(CM\)-trivialityMekler construction

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (5)

Neostability-properties of Fraïssé limits of 2-nilpotent groups of exponent \(p>2\) ⋮ Mekler's construction and generalized stability ⋮ On the antichain tree property ⋮ Model theory of finite and pseudofinite groups ⋮ Onn-dependent groups and fields II

Cites Work

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• A new strongly minimal set
• Classification and interpretation
• Stability of nilpotent groups of class 2 and prime exponent
• Simple unstable theories
• Decidability and stability of free nilpotent lie algebras and free nilpotent p-groups of finite exponent
• A construction of superstable ndop-notop groups
• CM-triviality and stable groups
• A new uncountably categorical group
• The geometry of forking and groups of finite Morley rank
• A free pseudospace
• A note on CM-triviality and the geometry of forking

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