中文摘要：

给出了峨的等距群PU（n，1）的非初等的离散子群的正规化子群离散的充要条件，并证明了作用于体积有限的复双曲流形HC^n／G上的等距群是有限群．

英文摘要：

Let G be a nonelementary discrete subgroup of PU（n,I ）. We present a dimension condition which can be used to check whether the normalizer N of G is discrete： N is discrete if and only if dimcL（G） = n. As a consequence of the result we proved that if the volume of H^nc/G is finite then Isom（HC^n/G） is finite group.