Abstract
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.
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Partly supported by the Grants-in-Aid for Co-operative Research as well as Scientific Research, the Ministry of Education, Science, Sports and Culture, Japan.
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Li, C., Oichi, M. & Sato, H. Jørgensen Groups of Parabolic Type I (Finite Case). Comput. Methods Funct. Theory 5, 409–430 (2006). https://doi.org/10.1007/BF03321107
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DOI: https://doi.org/10.1007/BF03321107