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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

Samaria Montenegro
Affiliation:
Escuela de Matemática-CIMPA, Universidad de Costa Rica, San José, Costa Rica ([email protected]) Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia ([email protected])
Alf Onshuus
Affiliation:
Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia ([email protected])
Pierre Simon
Affiliation:
Department of Mathematics, University of California, Berkeley, CA, USA ([email protected])

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.

Type
Research Article
Copyright
© Cambridge University Press 2018

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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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