Coprimeness among irreducible character degrees of finite solvable groups

On Finite Groups With Two Irreducible Character Degrees

on finite groups with two irreducible character degrees

Some connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups

‎Let $G$ be a finite group‎. ‎We say that the derived covering number of $G$ is finite if and only if there exists a positive integer $n$ such that $C^n=G'$ for all non-central conjugacy classes $C$ of $G$‎. ‎In this paper we characterize solvable groups $G$ in which the derived covering number is finite‎.‎ 

Finite p-groups with few non-linear irreducible character kernels

Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.

finite p-groups with few non-linear irreducible character kernels

abstract. in this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.