ISSN: 1813-0410

Author : Abd AL- Hur Kadum, Intissar

The cyclic decomposition of the group

Intissar Abd AL- Hur Kadum

journal of kerbala university, Volume 10, Issue 2, Pages 103-117

The group of all Z-valued characters of a finite group G over the group of induced unit characters from all cyclic subgroups of G forms a finite a belian group, called Artin Cokernel of G ,denoted by AC(G).The problem of finding the cyclic decomposition of Artin cokernel has been considered in this paper ,the cyclic decomposition of is :
= .
Also we give the general form of rational character and Artin's characters tables of group.