THE GROUP CONFIGURATION THEOREM FOR GENERICALLY STABLE TYPES

Abstract We generalize Hrushovski’s group configuration theorem to the case where the type of the configuration is generically stable, without assuming tameness of the ambient theory. The properties of generically stable types, which we recall in the second section, enable us to adapt the proof known in the stable context.

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Publication Details

Journal
Journal of Symbolic Logic
Published
2024-11-11
DOI
https://doi.org/10.1017/jsl.2024.45
Primary Topic
advanced mathematical theories
Type
article
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article

THE GROUP CONFIGURATION THEOREM FOR GENERICALLY STABLE TYPES

Paul Wang
Journal of Symbolic Logic
advanced mathematical theories
article

THE GROUP CONFIGURATION THEOREM FOR GENERICALLY STABLE TYPES

Paul Wang
article en

Abstract

Abstract We generalize Hrushovski’s group configuration theorem to the case where the type of the configuration is generically stable, without assuming tameness of the ambient theory. The properties of generically stable types, which we recall in the second section, enable us to adapt the proof known in the stable context.

Journal of Symbolic LogicVol. 90(2)
Openalex Percentile: Top 67%
advanced mathematical theories
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THE GROUP CONFIGURATION THEOREM FOR GENERICALLY STABLE TYPES — Paul Wang · Journal of Symbolic Logic (2024) | TGRS Research Map | TGRS