Quotients of trees for arithmetic subgroups of \(\mathrm{PGL}_2\) over a rational function field. (Q486450)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quotients of trees for arithmetic subgroups of \(\mathrm{PGL}_2\) over a rational function field. |
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Quotients of trees for arithmetic subgroups of \(\mathrm{PGL}_2\) over a rational function field. (English)
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15 January 2015
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The authors determine the structure of the quotient of the Bruhat-Tits tree of the locally compact group \(\mathrm{PGL}_2(F_p)\) with respect to the natural action of its \(S\)-arithmetic subgroup \(\mathrm{PGL}_2(O_{\{p\}})\) where \(F\) is a rational function field over a finite field and \(p\) is a place of \(F\).
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Bruhat-Tits trees
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locally compact groups
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rational function fields
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Bruhat-Tits buildings
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fundamental domains for actions
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arithmetic subgroups
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