Computing the character table of a finite group

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...

On the Sum of the Elements in the Character Table of a Finite Group

Computing the Performance of Unitary Space-Time Group Constellations from their Character Table

Multiple antennas can greatly increase the data rate and reliability of a wireless communica-tion link in a fading environment. It is well-known that unitary matrices can be used to designdi erentially modulated space-time constellations. These constellations have a particularly e -cient description if they form a nite group under matrix multiplication. In this paper we willshow...

THE RATIONAL CHARACTER TABLE OF SPECIAL LINEAR GROUPS

In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).

The Character Table of an Eight - Dimensional Orthogonal Group

This paper describes the calculation of the character table of the 8-dimensional orthogonal group of maximal index over the field with 3 elements. The group is of interest as it is a subgroup of relatively small index in the sporadic simple group M(23) defined by B. Fischer [2]. The group also has an outer automorphism group of order 24, isomorphic to the symmetric group on 4 symbols.