Abstract
For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abeliangroup of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of allgeneralized characters of Dnh , R(Dnh) is a normal subgroup of cf(Dnh,Z) denoted by R (Dnh),thencf(Dnh,Z)/ R (Dnh) is a finite abelian factor group which is denoted by K(Dnh).
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