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arXiv · 1302.1384

A uniform upper bound for the character degree sums and Gelfand-Graev-like characters for finite simple groups

Pablo Spiga·Alexandre Zalesski
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Abstract

Let G be a finite non-abelian simple group and let p be a prime. We classify all pairs (G,p) such that the sum of the complex irreducible character degrees of G is greater than the index of a Sylow p-subgroup of G. Our classification includes all groups of Lie type in defining characteristic p (because every Gelfand-Graev character of G is multiplicity free and has degree equal to the above index), and a handful of well-described examples.

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Pablo Spiga, Alexandre Zalesski. 2013-02-06. A uniform upper bound for the character degree sums and Gelfand-Graev-like characters for finite simple groups. https://arxiv.org/abs/1302.1384

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