Groups with a Character of Large Degree
Group Theory
2008-08-28 v3 Representation Theory
Abstract
Let G be a finite group of order n and V an irreducible representation over the complex numbers of dimension d. For some nonnegative number e, we have n=d(d+e). If e is small, then the character of V has unusually large degree. We fix e and attempt to classify such groups. For e<=3 we give a complete classification. For any other fixed e we show that there are only finitely many examples.
Cite
@article{arxiv.math/0603239,
title = {Groups with a Character of Large Degree},
author = {Noah Snyder},
journal= {arXiv preprint arXiv:math/0603239},
year = {2008}
}
Comments
11 pages, 0 figures. v3 incorporates the referee's suggestions