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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some special $ 2$-generator Kleinian groups


Author: Bernard Maskit
Journal: Proc. Amer. Math. Soc. 106 (1989), 175-186
MSC: Primary 20H10; Secondary 30F40
DOI: https://doi.org/10.1090/S0002-9939-1989-0937850-4
MathSciNet review: 937850
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Abstract: We explore the following question. Let $ G$ be the subgroup of $ {\text{PSL}}(2,{\mathbf{C}})$ generated by the elements $ A$ and $ B$, where $ A$ has two fixed points, and $ B$ maps one fixed point of $ A$ onto the other; when is $ G$ discrete?


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DOI: https://doi.org/10.1090/S0002-9939-1989-0937850-4
Article copyright: © Copyright 1989 American Mathematical Society