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三类Schottky群的Jorgensen数
引用本文:刘玲.三类Schottky群的Jorgensen数[J].韶关学院学报,2008,29(9):9-12.
作者姓名:刘玲
作者单位:韶关学院,数学系,广东,韶关,512005
摘    要:Sato H定义了八类经典Schottky群以及Jorgensen数,通过讨论第Ⅲ,第Ⅵ和第Ⅷ类的Jorgensen数的不同形式,给出了这三种类型的相关定理及其证明。

关 键 词:Schottky群  Jorgensen数  MiSbius变换  二元生成子群

Jorgensen's numbers of three types Schottky groups
LIU Ling.Jorgensen''s numbers of three types Schottky groups[J].Journal of Shaoguan University(Social Science Edition),2008,29(9):9-12.
Authors:LIU Ling
Institution:LIU Ling (Department of Mathematics,Shaoguan University,Shaoguan 512005, Guangdong,China)
Abstract:Using the Dynamic Domain Names technology, we can set up a immobility domain name network which depending on a dynamic IP network, Sato H has defined classical Schottky group of eight types and Jorgensen's number. According to these definitions, We consider different formations of Jorgensen's numbers of Type Ⅲ, Ⅵ and Ⅷ in this paper. Furthermore, some properties and theorems of these three types are obtained.
Keywords:Schottky group  Jorgenseng number  M6bius transformations  two- generator subgroup
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