Jørgensen不等式的推广  

The Generalization of Jørgensen’s Inequality

作　　者：李娜 

机构地区：[1]河南大学数学与统计学院,河南 开封

出　　处：《理论数学》2021年第1期90-93,共4页Pure Mathematics

摘　　要：假设Möbius变换f和g生成一个离散群,我们得到下列Jørgensen不等式的推广:1:若f,g】为M的离散子群且γ≠β,则|γ+1|+|β+1|≥0.065…;2:若f,g】为M的离散子群且β≠-3,则|γ+1|+|β+3|≥0.528…;3:若f,g】为M的离散子群且β≠-4,则|γ+1|+|β+4|≥0.246…。Assume that Möbius transformation f and g genenrate a discrete group. We obtain the following generalizations of Jørgensen’s inequalities: 1: If f,g> is a subgroup of M and γ≠β, then |γ+1|+|β+1|≥0.065…;2: If f,g>is a subgroup of M and β≠-3, then |γ+1|+|β+3|≥0.528…;3: If f,g>is a subgroup of M and β≠-4, then |γ+1|+|β+4|≥0.246….

关 键 词：离散群 Möbius变换 Jørgensen不等式 

分 类 号：O15[理学—数学]