COMPLEX GROUP ALGEBRAS OF FINITE GROUPS: BRAUER’S PROBLEM 1

@inproceedings{MORET2005COMPLEXGA,
title={COMPLEX GROUP ALGEBRAS OF FINITE GROUPS: BRAUER’S PROBLEM 1},
author={ALEXANDER MORET{\'O}},
year={2005}
}

ALEXANDER MORETÓ

Published 2005

Brauer’s Problem 1 asks the following: what are the possible complex group algebras of finite groups? It seems that with the present knowledge of representation theory it is not possible to settle this question. The goal of this paper is to announce a partial solution to this problem. We conjecture that if the complex group algebra of a finite group does not have more than a fixed number m of isomorphic summands, then its dimension is bounded in terms of m. We prove that this is true for every… CONTINUE READING