【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.更多还原

【Abstract】 In the paper,the discreteness of non-elementary subgroups G of complex hyperbolic isometry 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 G0 of G satisfies condition A,and G is discrete if each two loxodromic generator subgroups of G is discrete.更多还原