Jørgensen Groups of Parabolic Type I (Finite Case)
- First Online:
- Cite this article as:
- Li, C., Oichi, M. & Sato, H. Comput. Methods Funct. Theory (2006) 5: 409. doi:10.1007/BF03321107
- 25 Downloads
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.