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convergence group
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  收敛群
     Several properties about elements in convergenceo groups acting in Rnare obtaind. By use of these properties, we prove a kind of maximal property of subgroups in convergence group.
     得到了上收敛群中元素的一些性质,利用这些性质证明了收敛群中某些子群的一些极大性质.
短句来源
     The conical limit set of convergence group is studied and that and the Lebesgue measure of the conical limit set is equal to zero when the Poincare series of discrete convergence group converge is proved.
     研究了一般收敛群的锥形极限集,并证明了当离散收敛群的Poincare级数收敛时,其锥形极限集的Lebesgue测度为零.
短句来源
     We investigate the commutator subgroup of a convergence group,and obtain the relationship between the elementariness of a convergence group and the cardinal number of the fixed point set of its commutator subgroup.
     讨论了收敛群的换位子群 ,建立了收敛群的初等性与它的换位子群的不动点集的基数之间的联系 .
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  相似匹配句对
     group
     Ⅰ组只饲喂基础日粮;
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     B.C and group D.
     B组:10例肾衰竭非透析组;
短句来源
     On Convergence of Expert Group Thought
     群体思维收敛性定量验证
短句来源
     On Convergence and Period of Group Boolean Matices
     关于群布尔矩阵的收敛和周期(英文)
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     3) convergence;
     归同(convergence);
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  convergence group
We study the limit sets of convergence groups and prove that the limit set of a free discontinuous cocompact convergence group with an invariant component of the discontinuity domain is a discontinuum.
      


This is a summary of general theory and new advances in the geometry of discrete groups. Some new results due to the graduate students of the department are mentioned as follows. Let f1 and f2 be two self homeomorphismsof Rn and a discrete convergence group. If f1=f2 in some topological sphere, then f1 =f2 in IP the identity theorem). It is also proved in a very simple way and without applying the Thurston theory, that second kind torsion-free quasiconformal Fuchsian groups of compact type...

This is a summary of general theory and new advances in the geometry of discrete groups. Some new results due to the graduate students of the department are mentioned as follows. Let f1 and f2 be two self homeomorphismsof Rn and a discrete convergence group. If f1=f2 in some topological sphere, then f1 =f2 in IP the identity theorem). It is also proved in a very simple way and without applying the Thurston theory, that second kind torsion-free quasiconformal Fuchsian groups of compact type are quasiconformally conjugate to Mobius groups in three dimensions . Some open problems and references are listed .

本综述介绍了离散群几何学的一般理论及若干新进展,其中包括我系研究生新近得到的一些有趣结果。文中列举了一些尚未解决的问题并提供了部分参考文献。

Several properties about elements in convergenceo groups acting in Rnare obtaind. By use of these properties, we prove a kind of maximal property of subgroups in convergence group.

得到了上收敛群中元素的一些性质,利用这些性质证明了收敛群中某些子群的一些极大性质.

The conical limit set of convergence group is studied and that and the Lebesgue measure of the conical limit set is equal to zero when the Poincare series of discrete convergence group converge is proved.

研究了一般收敛群的锥形极限集,并证明了当离散收敛群的Poincare级数收敛时,其锥形极限集的Lebesgue测度为零.

 
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