Finite Group Elements where No Irreducible Character Vanishes

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.

On Finite Groups With Two Irreducible Character Degrees

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.

on finite groups with two irreducible character degrees

Finite Groups with a Unique Nonlinear Nonfaithful Irreducible Character

In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only p-groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if G is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful ir...