Some examples of discrete groups and hyperbolic orbifolds of infinite volume (Q2730496)
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scientific article; zbMATH DE number 1631354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some examples of discrete groups and hyperbolic orbifolds of infinite volume |
scientific article; zbMATH DE number 1631354 |
Statements
15 August 2001
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discrete groups
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hyperbolic orbifolds
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two-generator subgroups
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hyperbolic elements
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Some examples of discrete groups and hyperbolic orbifolds of infinite volume (English)
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Gehring, Gilman and Martin forced to consider two-generator subgroups \(\langle f,g\rangle\) of \(\text{PSL}(2,\mathbb{C})\) with \(\text{tr}^2f\), \(\text{tr}^2g\) and \(\text{tr}[f,g]\) real. Here the author describes criteria for \(\langle f,g\rangle\) to be discrete and non-Fuchsian if \(f\) and \(g\) are both hyperbolic elements.
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