Journal of Lie Theory

no. 2
Some Examples of Discrete Groups and Hyperbolic Orbifolds of Infinite Volume
Journal of Lie Theory, Volume 11 (2001) no. 2, pp. 491-503
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.
DOI: 10.5802/jolt.245
Classification: 20H10, 30F35, 57S30
Keywords: discrete groups, hyperbolic orbifolds, two-generator subgroups, hyperbolic elements 
@article{JOLT_2001_11_2_a12,
     author = {E. Klimenko},
     title = {Some {Examples} of {Discrete} {Groups} and {Hyperbolic} {Orbifolds} of {Infinite} {Volume}},
     journal = {Journal of Lie Theory},
     pages = {491--503},
     year = {2001},
     volume = {11},
     number = {2},
     doi = {10.5802/jolt.245},
     zbl = {0980.20039},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.245/}
}
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E. Klimenko. Some Examples of Discrete Groups and Hyperbolic Orbifolds of Infinite Volume. Journal of Lie Theory, Volume 11 (2001) no. 2, pp. 491-503. doi: 10.5802/jolt.245

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