STABILIZERS, GROUPS WITH -GENERICS, AND PRC FIELDS-Reference-Cited by-同舟云学术

STABILIZERS, GROUPS WITH -GENERICS, AND PRC FIELDS

Published:2018-05-10 Issue:3 Volume:19 Page:821-853
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Montenegro Samaria,Onshuus Alf,Simon Pierre

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. Model-theoretic methods in the theory of topological fields;Prestel;J. Reine Angew. Math.,1978

2. Tame Topology and O-minimal Structures

3. Forking and Dividing in NTP2 theories

4. Paires de structures O-minimales

5. Weakly o-minimal structures and real closed fields

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