The Group Configuration Theorem for Generically Stable Types

Journal of Symbolic Logic:1-44 (forthcoming)
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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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References found in this work

Product of invariant types modulo domination–equivalence.Rosario Mennuni - 2020 - Archive for Mathematical Logic 59 (1):1-29.
Three Surprising Instances of Dividing.Gabriel Conant & Alex Kruckman - forthcoming - Journal of Symbolic Logic:1-20.
Generic stability and stability.Hans Adler, Enrique Casanovas & Anand Pillay - 2014 - Journal of Symbolic Logic 79 (1):179-185.
On ω-categorical, generically stable groups.Jan Dobrowolski & Krzysztof Krupiński - 2012 - Journal of Symbolic Logic 77 (3):1047-1056.

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