On the representations of M-groups

الملخص EN

The main object of this paper is to study the representations of monomial groups and characters technique for representations of monomial groups.

We refer to monomial groups by M-groups.

Moreover we investigate the relation of monomial groups and solvable groups.

Many applications have been given the symbol G e.g.

group of order 297 is an M-group and solvable.

For any group G, the factor group G/G (G is the derived subgroup of G) is an M-group in particular if G = Sn, SL(4,R).