Character kernels of discrete groups

Character Kernels of Discrete Groups1

Let G be an arbitrary discrete group and let T = C[G] be its group algebra over the complex numbers C. If 9? is an irreducible representation of the algebra then 9i(r)=P is primitive and hence isomorphic to a dense set of linear transformations over D, the commuting ring of 9J [4, p. 28]. Let L be the center of D. If dimr, P < °o then we say that 9? is finite and since P is central simple over ...

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.

RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS

The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational character tables are also considered into account.The aim of this paper is to compute the rational character tables of the dicyclic group $T_{4n}$, the groups of order $pq$ and $pqr$. Some general properties of rational charact...

Structural Properties of Inner Amenable Discrete Groups