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

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

2009-08-31

arxiv.org/abs/0908.4531v5

Mathematics

Group Theory

Scientific paper

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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