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Journal of Lie Theory, Vol. 11, No. 2, pp. 491-503 (2001)
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Some Examples of Discrete Groups and Hyperbolic Orbifolds of Infinite Volume

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Elena Klimenko

Department of Mathematics

Technion-Israel Institute of Technology

Haifa 32000

Israel

klimenko@tx.technion.ac.il

**Abstract:** We study the class of two-generator subgroups of $ PSL(2,** C**)$ with real parameters which was introduced recently by Gehring, Gilman, and Martin. We give criteria for discreteness of non-elementary and non-Fuchsian groups of this class that are generated by two hyperbolic elements. We construct all hyperbolic orbifolds uniformized by the discrete groups of such type. The orbifolds described are of infinite volume.

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