Class fication of 3-Dimensional Elementary Groups and Representation of Special Elliptic Groups;
三维初等群的分类及特殊椭圆子群的表示
In this paper we obtain Jorgensen s inequality of isometry group M(X) of Pinched manifold X and a geometric characteristic of nonelementary subgroups of M(X).
本文建立了 Ｐｉｎｃｈｅｄ流形 Ｘ上等距群 Ｍ（Ｘ）中的Ｊｏｒｇｅｎｓｅｎ型不等式；证得了Ｍ（Ｘ）中非初等群的一个几何特征；得到了 Ｍ（Ｘ）中子群的两个离散准则。
In Chapter 2, we introduce some basic concepts and properties of M(o|¨)bius groups, including the Poincare extension, elementary subgroups, non-elementary subgroups.
第二章介绍了有关M(o|¨)bius变换的一些基本概念及性质,包括Poincare扩张,初等子群和非初等子群;还介绍了双曲几何中的一些概念和性质,给出了双曲平面上几种模型和三种Hermitian类型,以及Cygan度量。
As a generalization of the discrete and elementary convergence groups, in this paper, two kinds of general elementary convergence groups (elementary convergence groups and quasi elementary convergence groups) are defined and discussed.
作为 Rn上的离散收敛群中的初等群的推广 ,本文定义了 Rn上一般收敛群中的初等群和拟初等群 ,并得到了初等收敛群、拟初等收敛群和非拟初等收敛群各自的一些性质和特征 。