On the average character degree of finite groups
Group Theory
2013-12-06 v2 Representation Theory
Abstract
We prove that if the average of the degrees of the irreducible characters of a finite group is less than 16/5, then is solvable. This solves a conjecture of I.M. Isaacs, M. Loukaki, and the first author. We discuss related questions.
Keywords
Cite
@article{arxiv.1309.0173,
title = {On the average character degree of finite groups},
author = {Alexander Moretó and Hung Ngoc Nguyen},
journal= {arXiv preprint arXiv:1309.0173},
year = {2013}
}
Comments
The first version is revised based on the referee's report. To appear in Bull. Lond. Math. Soc