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arXiv · 1412.7613

On the number of $p'$-degree characters in a finite group

Gunter Malle·Attila Maróti
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Abstract

Let $p$ be a prime divisor of the order of a finite group $G$. Then $G$ has at least $2 \sqrt{p-1}$ complex irreducible characters of degrees prime to $p$. In case $p$ is a prime with $\sqrt{p-1}$ an integer this bound is sharp for infinitely many groups $G$.

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Gunter Malle, Attila Maróti. 2014-12-24. On the number of $p'$-degree characters in a finite group. https://arxiv.org/abs/1412.7613

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