1. The importance of the concept group-matrix in the theory of finite groups was recognized by Dedekind as early as 1880. The development of a general theory of group-matrices is due, however, to Frobenius, (Berliner Sitzungsberichte, from 1896 to the present). In particular, Frobenius has applied the theory to the representation of a finite group as a (non-modular) linear group. Since linear c...