PU(1,n;C)在中一些子群的离散性的判定2  

Discreteness Determination of Some Subgroups in Group PU(1,n;C)

作　　者：赵利彬[1] 李长军[2] 张小燕[2] 

机构地区：[1]闽江学院 [2]中国海洋大学

出　　处：《佳木斯大学学报（自然科学版）》2013年第1期149-151,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：研究了复双曲等距映射群PU(1,n;C)中非初等子群G的离散性,得到两条判别准则.一个是由G的任意两斜驶生成元子群均离散可推出G离散.而第二条判别准则是对第一个的加强,即只需假设G的某个特定子群满足条件A,由的任意两斜驶生成元子群均离散便可推出G离散.In the paper, the discreteness of non - elementary subgroups G oi complex hyperbolic mometry group PU（ 1, n ; C） was discussed. There are two criterions. The result shows that G is discrete, if each of the two loxodromic generator subgroups of G is discrete. And the second conclusion strengthens the second, namely, only under the assumption that some subgroup Go of G satisfies condition A, and G is discrete if each two loxo- dromic generator subgroups of G is discrete.

关 键 词：双曲等距映射 PU(1 n C)的子群 非初等子群 复双曲空间 

分 类 号：O152.1[理学—数学]