On stable torsion-free nilpotent groups

DOI10.1007/BF01270468zbMath0788.03047MaRDI QIDQ1313601

Claus Grünenwald, Frieder Haug

Publication date: 5 June 1994

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

nilpotent groupstable theoryinfinite fieldstable groupnonabelian group

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Nilpotent groups (20F18) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (3)

CM-triviality and stable groups ⋮ Unnamed Item ⋮ Fields interpretable in superrosy groups with NIP (the non-solvable case)

Cites Work

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• Formularity of sets of Mal'tsev bases, and elementary theories of finite algebras. I
• On the model theory of the ring \(\mathrm{NT}(n,R)\)
• Groups with the minimal condition on centralizers
• Nilpotent groups
• The Undecidability of Algebraic Rings and Fields
• Preservation of saturation and stability in a variety of nilpotent groups
• Categoricity and stability of commutative rings
• A new uncountably categorical group

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