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Paper   IPM / M / 2941
School of Mathematics
  Title:   Characters and quasi-permutation representations of nilpotent group of class 2 with two character degrees
  Author(s):  H. Behravesh
  Status:   Published
  Journal: Int. Math. J.
  No.:  2
  Vol.:  4
  Year:  2003
  Pages:   137-143
  Supported by:  IPM
  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)|1/2c(Z(G)). Also when G′ < Z(G) and G has a unique minimal normal subgroup, that is, G is a p-group, we will show that c(G)=|G:Z(G)|1/2c(Z(G)).

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