Burnside-Brauer Theorem and Character Products in Table Algebras
Representation Theory
2015-08-26 v4 Combinatorics
Abstract
In this paper, we first show that the irreducible characters of a quotient table algebra modulo a normal closed subset can be viewed as the irreducible characters of the table algebra itself. Furthermore, we define the character products for table algebras and give a condition in which the products of two characters are characters. Thereafter, as a main result we state and prove the Burnside-Brauer Theorem on finite groups for table algebras.
Keywords
Cite
@article{arxiv.0810.5305,
title = {Burnside-Brauer Theorem and Character Products in Table Algebras},
author = {J. Bagherian and A. Rahnamai Barghi},
journal= {arXiv preprint arXiv:0810.5305},
year = {2015}
}