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arXiv · 1904.06545

Groups with few $p'$-character degrees

Eugenio Giannelli·Noelia Rizo·Mandi Schaeffer Fry
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Abstract

We prove a variation of Thompson's Theorem. Namely, if the first column of the character table of a finite group $G$ contains only two distinct values not divisible by a given prime number $p>3$, then $O^{pp'pp'}(G)=1$. This is done by using the classification of finite simple groups.

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Eugenio Giannelli, Noelia Rizo, Mandi Schaeffer Fry. 2019-04-13. Groups with few $p'$-character degrees. https://arxiv.org/abs/1904.06545

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