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arXiv · 0908.4531

Finiteness Properties of Chevalley Groups over a Polynomial Ring over a Finite Field

Kai-Uwe Bux·Ralf Köhl·Stefan Witzel
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Abstract

It is known from work by H. Abels and P. Abramenko that for a classical Fq-group G of rank n the arithemetic lattice G(Fq[t]) of Fq[t]-rational points is of type Fn-1 provided that q is large enough. We show that the statement is true without any assumption on q and for any isotropic, absolutely almost simple group G defined over Fq.

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Kai-Uwe Bux, Ralf Köhl, Stefan Witzel. 2010-11-29. Finiteness Properties of Chevalley Groups over a Polynomial Ring over a Finite Field. https://arxiv.org/abs/0908.4531

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