On virtual 3-generation of \(S\)-arithmetic subgroups of \(\text{SL}_2\). (Q997923)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On virtual 3-generation of \(S\)-arithmetic subgroups of \(\text{SL}_2\). |
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On virtual 3-generation of \(S\)-arithmetic subgroups of \(\text{SL}_2\). (English)
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8 August 2007
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For a number field \(K\), it is shown that any \(S\)-arithmetic subgroup of \(\text{SL}_2(K)\) contains a subgroup of finite index generated by 3 elements, if \(\text{card}(S)\geq 2\).
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arithmetic subgroups
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higher rank groups
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3-generator groups
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number fields
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subgroups of finite index
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congruence subgroups
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