University of Technology-Iraq
Engineering and Technology Journal
1681-6900
29
9
2011
06
01
The Primary Decomposition of the Factor Group K(G)
1820
1829
31773
10.30684/etj.29.9.16
EN
Manal
N.AL-Harere
Fuad
A.AL-Heety
Journal Article
2011
06
01
The main purpose of this work is to find the primary decomposition of the factor<br /> group K (The factor group of all Z-valued class<br /> functions module the group of Z-valued generalized characters for elementary Abelian<br /> group G), where G is a finite Abelian group of type , p=5.<br /> This work depends on finding the rational valued character matrix<br /> from the character table of and finding the invariant factors of this matrix, also we<br /> found the general solution of this decomposition and prove it by mathematical<br /> induction. We have used the MATLAB program to calculate some results of this<br /> work.
https://etj.uotechnology.edu.iq/article_31773_2e6411ac346bf88fa08123a3af290eaa.pdf