%0 Journal Article
%T Finite groups with an irreducible character of large degree
%A Nguyen Ngoc Hung
%A Mark L. Lewis
%A Amanda A. Schaeffer Fry
%J Mathematics
%D 2015
%I arXiv
%X Let $G$ be a finite group and $d$ the degree of a complex irreducible character of $G$, then write $|G|=d(d+e)$ where $e$ is a nonnegative integer. We prove that $|G|\leq e^4-e^3$ whenever $e>1$. This bound is best possible and improves on several earlier related results.
%U http://arxiv.org/abs/1505.05138v1