离散MObius群不等式

INEQUALITIES FOR DISCRETE M BIUS GROUPS

本文应用Ｍｏｂｉｕｓ群的Ｃｌｉｆｆｏｒｄ矩阵表示将Ｊｏｒｇｅｎｓｅｎ不等式在一些条件下推广到高维情形；给出了一个类似Ｊｏｒｇｅｎｓｅｎ不等式的不等式，并将其在某些条件下推广到了高维；最后还给出了高维Ｊｏｒｇｅｎｓｅｎ不等式的一些应用．

In this paper, applyin the clifford matrix representation of Mobius transformations in R￣n, we prove the Jorgensen's inequality of discrete subgroup of M(R￣n) in some special cases and give some applications.