Coding Matrices for the Semi-Direct Product Groups

Abstract

We shall determine the coding matrix of the semi-direct product group $ G = C_{n} rtimes_{phi} C_{m} $ ; $ phi : C_{m} longrightarrow Aut(C_{n}) $ of two cyclic groups in order to generalize the known result for the dihedral group $D_{2n}$, which is known to be a semi-direct of the two cyclic groups $C_{n} , C_{2}$.