THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CFZ ( (n) 13 Z , Z) / __ R ( (n) 13 Z )

Abstract

The main purpose of this work is the determination of cyclic decomposition of the group (The factor group of all z-valued class functions module the group of Z-valued generalized characters for elementary abelian group ). Where .For this purpose a recurrence relation is established for the cyclic decomposition of the group above and it is solved. This solution gives the number of for distinct , in the cyclic decomposition of . A program for our work is made by C++ and is demonstrated by a flow chart in Fig.(1).