四维椭圆M bius变换中几类子群的极大性

The Maximum Property of Several Kinds of Subgroups in Four Dimensional Mobius Transformations

本文对四维保向Mobius变换的椭圆元素进行了研究,得到了两条性质.利用这些性质,证明了三类椭圆群在全体椭圆元素构成的集合E(R^4)中的极大性.

In this paper, we discuss the elliptic elements in four dimensional sense-preserving Mobius transformations, and obtain two elementary properties of them. Based on these properties, we prove the maximum property of three kinds of elliptic subgroups in E(R^4) which is composed of all elliptic elements in four dimensional transformations.