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Finiteness properties of arithmetic groups over function fields

Group Theory 2007-05-23 v1 Geometric Topology

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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Cite

@article{arxiv.math/0408299,
  title  = {Finiteness properties of arithmetic groups over function fields},
  author = {Kai-Uwe Bux and Kevin Wortman},
  journal= {arXiv preprint arXiv:math/0408299},
  year   = {2007}
}

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33 pages