THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER
DOI:
https://doi.org/10.31642/JoKMC/2018/010110Keywords:
dihedral group, abelian factor groupAbstract
For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian
group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all
generalized characters of Dnh , R(Dnh) is a normal subgroup of cf(Dnh,Z) denoted by R (Dnh),then
cf(Dnh,Z)/ R (Dnh) is a finite abelian factor group which is denoted by K(Dnh).
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