The main purpose of this work is to find the primary decomposition of factor
group K (The factor group of all z-valued class functions
module the group of Z-valued generalized characters for elementary abelian group
G),where G is a finite abelian group of type , p=3.
This work depends on finding the rational valued character matrix
from the character table of and finding the invariant factors of this matrix.
We have used the MATLAB program to calculate some results of this work.