Finiteness Properties of Chevalley Groups over a Polynomial Ring over a Finite Field
Abstract
It is known from work by H. Abels and P. Abramenko that for a classical Fqgroup G of rank n the arithemetic lattice G(Fq[t]) of Fq[t]rational points is of type Fn1 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.
 Publication:

arXiv eprints
 Pub Date:
 August 2009
 DOI:
 10.48550/arXiv.0908.4531
 arXiv:
 arXiv:0908.4531
 Bibcode:
 2009arXiv0908.4531B
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Geometric Topology;
 20G30;
 20E42;
 20F65