On artin cokernel of the group D2nh

Abstract EN

The group of all Z-valued characters of afinite 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 AC (D2nh) has been considered in this paper, the cyclic decomposition of AC (D2nh) is : AC (Dn2 h) = ⊕2 (h + 1) i = 1 (2 ⊕ C2 h +1).

And we give the general form of Artin's characters table Ar (D2 n h).