A decomposition of the cyclic groups of order p and p 2,where p is a prime number

The study of fuzzy subhypergroups of the complete hypergroups is an important area of research in fuzzy structure theory. Since this structure relies on a certain decomposition of a group G,in this paper we consider the cyclic groups of orders p and p² and prove that they have the required decomposition. Here we use some aspects of group theory to solve a problem in the fuzzy algebraic hyperstructure theory.