摘要
利用Mōbius变换的Clifford矩阵表示及类型判别,本文讨论了仅含有椭圆、抛物和拟抛物元素的Mōbius群.主要结果是:若这种群包含二维保向欧几里德群,则必为三维保向欧几里德群的子群.
By using Clifford matrix representations and type criteria of Mbius transformations,we discuss 3-dimensional Mbius groups which contains only elliptic, parabolic, and quasi-parabolic elements. The main result is:if such a group contains the orientation-preserving Euclidean group in R^2,then it is a subgroup of the orientation-preserving Euclidean goup in R^3.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
1992年第4期119-124,共6页
Journal of Hunan University:Natural Sciences
关键词
群
矩阵
欧几里德空间
Moebius群
group
matrix
Euclidean space/Mbius groups
Clifford matrixes
orientation-preserving Euclidean groups
