Superrosy dependent groups having finitely satisfiable generics

被引：20

作者：

Ealy, Clifton ^{[1
,2
]}

Krupinski, Krzysztof ^{[3
,4
]}

Pillay, Anand ^{[5
]}

机构：

[1] Univ Illinois, Urbana, IL 61801 USA

[2] Western Illinois Univ, Macomb, IL 61455 USA

[3] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

[4] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[5] Univ Leeds, Leeds LS2 9JT, W Yorkshire, England

来源：

ANNALS OF PURE AND APPLIED LOGIC | 2008年 / 151卷 / 01期

关键词：

superrosy group; non-independence property; finitely satisfiable generics;

D O I：

10.1016/j.apal.2007.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a basic theory of rosy groups and we study groups of small U-p-rank satisfying NIP and having finitely satisfiable generics: U-p-rank 1 implies that the group is abelian-by-finite, U-p-rank 2 implies that the group is solvable-by-finite, U-p-rank 2, and not being nilpotent-by-finite implies the existence of an interpretable algebraically closed field. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1 / 21

页数：21

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