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Finiteness properties of arithmetic groups over function fields

Kai-Uwe Bux·Kevin Wortman
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Abstract

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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Kai-Uwe Bux, Kevin Wortman. 2004-08-22. Finiteness properties of arithmetic groups over function fields. https://arxiv.org/abs/math/0408299

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