GROUPS OF DIMENSION 2 AND 3 OVER O-MINIMAL STRUCTURES

被引：12

作者：

NESIN, A

PILLAY, A

RAZENJ, V

机构：

[1] Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556

来源：

ANNALS OF PURE AND APPLIED LOGIC | 1991年 / 53卷 / 03期

关键词：

D O I：

10.1016/0168-0072(91)90025-H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a group definable in an o-minimal structure M. In this paper we show: Theorem. If G is a two-dimensional definably connected nonabelian group, then G is centerless and G is isomorphic to R+ XBAR R* > 0, for some real closed field R. Theorem. If G is a three-dimensional nonsolvable, centerless, definably connected group, then either G approximately equal SO3(R) or G approximately equal PSL2(R), for some real closed field R.

引用

页码：279 / 296

页数：18

共 12 条

[1]

CHERLIN G, 1979, ANN MATH LOGIC, V0017, P00001

[2]

Dugundji J., 1966, TOPOLOGY

[3] DEFINABLE SETS IN ORDERED STRUCTURES .2. [J].