On non-abelian \(C\)-minimal groups

DOI10.1016/S0168-0072(03)00019-8zbMath1028.03029MaRDI QIDQ1400606

Patrick Simonetta

Publication date: 13 August 2003

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

zbMATH Keywords

nilpotent groupo-minimality\(C\)-minimalityvalued group\(C\)-minimal group

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

ON THE STRUCTURE OF GROUPS ENDOWED WITH A COMPATIBLE C-RELATION

Cites Work

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• Nilpotent groups
• Strongly determined types
• Cell decompositions of \(C\)-minimal structures
• On variants of \(o\)-minimality
• Definable sets in algebraically closed valued fields: elimination of imaginaries
• One-dimensional fibers of rigid subanalytic sets
• An example of a 𝐶-minimal group which is not abelian-by-finite
• Abelian \(C\)-minimal groups

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