Definability and definable groups in simple theories

DOI10.2307/2586712zbMath0922.03056OpenAlexW2062216342MaRDI QIDQ4227866

Anand Pillay

Publication date: 2 February 1999

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586712

zbMATH Keywords

stabilizersgeneric typesdefinable groupssimple theoriesdefinability of types

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) Interpolation, preservation, definability (03C40)

Related Items

Definable envelopes in groups having a simple theory ⋮ Sets, groups, and fields definable in vector spaces with a bilinear form ⋮ Unnamed Item ⋮ HYPERDEFINABLE GROUPS IN SIMPLE THEORIES ⋮ A note on groups definable in difference fields ⋮ Definable sets containing productsets in expansions of groups ⋮ CONSTRUCTING AN ALMOST HYPERDEFINABLE GROUP ⋮ SIMPLICITY IN COMPACT ABSTRACT THEORIES ⋮ Groups and fields with $\operatorname {NTP}_{2}$ ⋮ Pseudofinite structures and simplicity ⋮ Largeur et nilpotence ⋮ Éz fields

Cites Work

• Groups definable in local fields and pseudo-finite fields
• Simple unstable theories