摘要
本文首先得到了SL(2,Γ_n)中Klein群的一个不等武,并给出了它的两个应用;然后证明了对SL(2,Γ_n)中的非初等群G,若G中的任意斜驶元素f满足tr^2(f)>4且当∞■fix(f)时tr(f)=tr(f),则存在h∈SL(2,Γn)使得hGh^(-1) C SL(2,R).此结果是Maskit相关结果的推广.
First, in this paper, an inequality for Kleinian groups in SL（2, Гn） is obtained, and then two applications are given. Finally we prove that for a non-elementary group G of SL（2, Гn）, if every loxodromic element f of G satisfying that tr^2（f） 〉 4 and tr（f）=tr（f） if ∞ fix（f）, then there exists h ∈ SL（2, Гn） such that hGh^-1 SL（2, R）, which is the generalization of Maskit＇s corresponding result.
出处
《数学进展》
CSCD
北大核心
2005年第4期448-454,共7页
Advances in Mathematics（China）
基金
The research was partly supported by NSFs of China and Zhejiang Province, Soft Project, of ScienceTechnology of Hunan Province and the Foundation for Scholars back from Foreign Countries
