Commensurability of co-compact three-dimensional hyperbolic groups (Q1073194)
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scientific article; zbMATH DE number 3944170
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commensurability of co-compact three-dimensional hyperbolic groups |
scientific article; zbMATH DE number 3944170 |
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Commensurability of co-compact three-dimensional hyperbolic groups (English)
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1983
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It is shown that the number of commensurability classes of three- dimensional co-compact hyperbolic isometry groups is infinite. This is done by observing that the trace fields for commensurable groups are identical and then exhibiting an infinite sequence of groups with distinct trace fields.
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number of commensurability classes
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three-dimensional co-compact hyperbolic isometry groups
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trace fields
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