Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups (Q1724733)
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scientific article; zbMATH DE number 7022874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups |
scientific article; zbMATH DE number 7022874 |
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Jørgensen's inequality and algebraic convergence theorem in quaternionic hyperbolic isometry groups (English)
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14 February 2019
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Summary: We obtain an analogue of Jørgensen's inequality in quaternionic hyperbolic space. As an application, we prove that if the \(r\)-generator quaternionic Kleinian group satisfies I-condition, then its algebraic limit is also a quaternionic Kleinian group. Our results are generalizations of the counterparts in the \(n\)-dimensional real hyperbolic space.
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0.90708613
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0.90213764
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0.88197297
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