Finiteness Properties of Chevalley Groups over a Polynomial Ring over a Finite Field
Group Theory
2011-08-18 v5 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0908.4531,
title = {Finiteness Properties of Chevalley Groups over a Polynomial Ring over a Finite Field},
author = {Kai-Uwe Bux and Ralf Köhl and Stefan Witzel},
journal= {arXiv preprint arXiv:0908.4531},
year = {2011}
}