Some extreme Kleinian groups for Jorgensen's inequality
Some extreme Kleinian groups for Jorgensen's inequality
复制标题
乔根森不平等的一些极端克莱因群体
DOI：
10.1007/bf03321107
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发表时间：
1993
影响因子：
2.1
通讯作者：
Ryūji Yamada
中科院分区：
文献类型：
--
作者：
Hiroki Sato;Ryūji Yamada
在本文中，我们针对 Jørgensen 不等式考虑抛物线型的极端离散双生成元群（Jørgensen 群）（有限情况）。在本例中，正好有 16 个 Jørgensen 组，包括模块化组、Picard 组和 8 字结组。其中 9 个是第一类克莱因群，7 个是第二类克莱因群。
In this paper we consider extreme discrete two-generator groups (Jørgensen groups) of parabolic type — finite case — for Jørgensen’s inequality. There are exactly 16 Jørgensen groups, including the modular group, the Picard group and the figure-eight knot group, in this case. Nine of them are Kleinian groups of the first kind and seven of them are Kleinian groups of the second kind.