高维纯双曲群

THE PURELY HYPERBOLIC GROUP IN R n

应用Ｃｌｉｆｏｒｄ矩阵表示证明了高维非初等纯双曲群是不连续的，另外还证明了几个关于纯双曲群的定理．

In this paper,applying the Clifford matrix representation of M bius tranformations in R n,we prove that a non-elementary purely hyperbolic group is discrete and discontinuous.Then we give several Jorgensen type inequality and prove a important equality.