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Groups with a Character of Large Degree

Noah Snyder
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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.

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Noah Snyder. 2008-08-28. Groups with a Character of Large Degree. https://arxiv.org/abs/math/0603239

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