【摘要】 研究了复双曲等距映射群PU(1,n;C)的非初等子群G的离散性判别准则.得到一个判别准则和一个推论.其中在满足条件A的假设前提下,利用加入检验元素来判别的离散性.更多还原

【Abstract】 In the paper,the discreteness of non-elementary subgroups G of complex hyperbolic isometry group PU(1,n,C) were mainly discussed.A criteria and a corollary were proved.and two conclusions under the assumption that G satisfies condition A were acquired,which uses a test map to examine the discreteness of G.The next result shows that G is discrete,if each two-loxodromic-generator subgroup of G is discrete.And the third conclusion strengthens the second,namely,only under the assumption can the subgroup G0 of G satisfy condition A.G is discrete if each two-loxodromic-generator subgroup of G is discrete.更多还原