On the number of the irreducible characters of factor groups
نویسندگان
1 Ferdowsi University of Mashhad
doi
10.22108/ijgt.2013.1825چکیده
Let $G$ be a finite group and let $N$ be a normal subgroup of $G$. Suppose that ${\rm{Irr}} (G | N)$ is the set of the irreducible characters of $G$ that contain $N$ in their kernels. In this paper, we classify solvable groups $G$ in which the set $\mathcal{C} (G) = \{{\rm{Irr}} (G | N) | 1 \ne N \trianglelefteq G \}$ has at most three elements. We also compute the set $\mathcal{C}(G)$ for such groups.
