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STABILIZERS, $\text{NTP}_{2}$ GROUPS WITH $\text{f}$-GENERICS, AND PRC FIELDS
Published online by Cambridge University Press: 10 May 2018
Abstract
In this paper, we develop three different subjects. We study and prove alternative versions of Hrushovski’s ‘stabilizer theorem’, we generalize part of the basic theory of definably amenable NIP groups to $\text{NTP}_{2}$ theories, and finally, we use all this machinery to study groups with f-generic types definable in bounded pseudo real closed fields.
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- Research Article
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- © Cambridge University Press 2018
Footnotes
The first and second authors were partially supported by Colciencias grant number 120471250707. The third author was partially supported by ValCoMo (ANR-13-BS01-0006), NSF (grant DMS 1665491), and the Sloan foundation.
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