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Paper IPM / M / 2941  


Abstract:  
In [3], c(G) is defined. In this paper we will assume that,
G is a nilpotent group of class 2 and cd(G)={1,m}, where
m=G:Z(G^{1/2}. Then we will calculate the nonlinear
irreducible characters of G, when G′=Z(G) and we will show
that c(G)=G:Z(G)^{1/2}c(Z(G)). Also when G′ < Z(G) and G has
a unique minimal normal subgroup, that is, G is a pgroup, we
will show that c(G)=G:Z(G)^{1/2}c(Z(G)).
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