Some special $2$-generator Kleinian groups
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- by Bernard Maskit PDF
- Proc. Amer. Math. Soc. 106 (1989), 175-186 Request permission
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?References
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F. W. Gehring and G. Martin, (to appear).
- Bernard Maskit, Kleinian groups, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 287, Springer-Verlag, Berlin, 1988. MR 959135
- Norman Purzitsky and Gerhard Rosenberger, Correction to: “Two generator Fuchsian groups of genus one” (Math. Z. 128 (1972), 245–251), Math. Z. 132 (1973), 261–262. MR 327928, DOI 10.1007/BF01213871
Additional Information
- © Copyright 1989 American Mathematical Society
- 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