Quasiconformal groups with small dilatation. I (Q2718966)
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scientific article; zbMATH DE number 1597860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasiconformal groups with small dilatation. I |
scientific article; zbMATH DE number 1597860 |
Statements
14 May 2001
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discrete groups
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Fuchsian groups
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Jørgensen-type inequality
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Quasiconformal groups with small dilatation. I (English)
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Quasiconformal Fuchsian groups with small dilatation are studied in this paper. A Jørgensen-type inequality in all dimensions is established for such a class of groups. It is shown that discreteness persists to the limit under algebraic convergence. Such groups are discrete if and only if every two generator subgroup is discrete.
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