Some structure theorems for \(\omega\)-stable groups

DOI10.3792/pjaa.63.254zbMath0644.03018OpenAlexW2077928319MaRDI QIDQ1102271

Katsumi Tanaka

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.254

zbMATH Keywords

hypercyclicfinite Morley rankCZ-groupslocally supersolvable groupnilpotent-by-finite

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

On Solvable Groups of Finite Morley Rank

Cites Work

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• Superstable groups; a partial answer to conjectures of Cherlin and Zil'ber
• Some local properties of \(\omega\)-stable groups
• Some model theory of simple algebraic groups over algebraically closed fields
• Groups of small Morley rank
• Some Structure Theorems for CZ -Groups