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arxiv: math/0408299 · v1 · submitted 2004-08-22 · 🧮 math.GR · math.GT

Finiteness properties of arithmetic groups over function fields

classification 🧮 math.GR math.GT
keywords arithmeticfunctiongeometrygroupslarge-scalecomparingdefineddetermine
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We determine when an arithmetic subgroup of a reductive group defined over a global function field is of type FP_\infty by comparing its large-scale geometry to the large-scale geometry of lattices in real semisimple Lie groups.

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