Superstable groups

DOI10.1016/0168-0072(86)90035-7zbMath0599.03034OpenAlexW4213165369MaRDI QIDQ1080416

Chantal Berline, Daniel Lascar

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0168-0072(86)90035-7

zbMATH Keywords

forkingsimplicitystabilizersdefinability of subgroups of superstable groupsindecomposability theoremlarge abelian subgroupsLascar's U-ranknormal definable subgroupssuperstable division ring

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

Superstable groups; a partial answer to conjectures of Cherlin and Zil'ber, CM-triviality and stable groups, Superstable groups of finite rank without pseudoplanes, Structure of linear groups definable in a field of finite Morley rank., On supersimple groups, On the definability of radicals in supersimple groups, European Summer Meeting of the Association for Symbolic Logic, Superstable differential fields, On the structure of stable groups, Differential Galois theory. II, The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups, There is no sharp transitivity on q⁶ when q is a type of Morley rank 2, A remark on differential algebraic groups., Superstability and central extensions of algebraic groups, Almost orthogonal regular types, On superstable CSA-groups, Isogeny in superstable groups, On properties of (weakly) small groups, Unnamed Item, The classification of small weakly minimal sets. III: Modules, Classification and interpretation, Indecomposability for differential algebraic groups, GROUPES FINS, Le carre de l'egalite, A note on subgroups of the automorphism group of a saturated model, and regular types, An infinite natural product, Constructing ω-stable structures: rank 2 fields, Unidimensional theories are superstable, \({\mathcal M}\)-gap conjecture and \(m\)-normal theories, On sharply n-transitive superstable groups, On Lascar rank and Morley rank of definable groups in differentially closed fields

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