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f-generics

Journal of the Institute of Mathematics of Jussieu (1)

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STABILIZERS, $\text{NTP}_{2}$ GROUPS WITH $\text{f}$-GENERICS, AND PRC FIELDS
Part of
- Model theory
Samaria Montenegro, Alf Onshuus, Pierre Simon
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 19 / Issue 3 / May 2020

Published online by Cambridge University Press:

10 May 2018, pp. 821-853

Print publication:

May 2020
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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.