Character degree sums in finite nonsolvable groups
Group Theory
2010-04-16 v2
Abstract
Let N be a minimal normal nonabelian subgroup of a finite group G. We will show that there exists a nontrivial irreducible character of N of degree at least 5 which is extendible to G. This result will be used to settle two open questions raised by Berkovich and Mann, and Berkovich and Zhmud'.
Cite
@article{arxiv.0912.0875,
title = {Character degree sums in finite nonsolvable groups},
author = {Kay Magaard and Hung P. Tong-Viet},
journal= {arXiv preprint arXiv:0912.0875},
year = {2010}
}
Comments
5 pages