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
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?


References [Enhancements On Off] (What's this?)

  • [G-M] F. W. Gehring and G. Martin, (to appear).
  • [M] Bernard Maskit, Kleinian groups, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 287, Springer-Verlag, Berlin, 1988. MR 959135
  • [P-R] 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 0327928

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