Discussion on the Structure of the Reduced Residue Class Additive Group in Cyclic Group

Abstract

Additive group in the group theory is an important tool to research group. Studying of different kinds of additive group is helpful to the study group. The method itself can be applied to esearch the other in the natural sciences. In this paper, a class of additive group of the residue class ring mod m has been studied. The properties of the residue class ring and the formula for Euler 's function were used. Finally, the order of group and its prime factor of the corresponding cyclic group were used to depict the structure of this kind of group.