On linear noetherian groups

Hans Zassenhaus
1969 Journal of Number Theory  
According to L. Auslander and R. Swan any group containing a polycyclic subgroup of finite index can be faithfully represented by integral matrices. A constructive proof is given and it is shown that conversely every noetherian group of matrices of finite degree over any field contains a polycyclic subgroup of finite index.
doi:10.1016/0022-314x(69)90026-2 fatcat:eytd46sferg2vdhpdd3yi53wfa