STABILIZERS, NTP2 GROUPS WITH f-GENERICS, AND PRC FIELDS

被引：10

作者：

Montenegro, Samaria ^{[1
,2
]}

Onshuus, Alf ^{[2
]}

Simon, Pierre ^{[3
]}

机构：

[1] Univ Costa Rica, Escuela Matemat CIMPA, San Jose, Costa Rica

[2] Univ Los Andes, Dept Matemat, Bogota, Colombia

[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2020年 / 19卷 / 03期

关键词：

model theory; PRC; f-generics; definable groups; NIP; NTP2;

D O I：

10.1017/S147474801800021X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 NTP2 theories, and finally, we use all this machinery to study groups with f-generic types definable in bounded pseudo real closed fields.

引用

页码：821 / 853

页数：33