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arXiv · 1903.09609

Characters of $π'$-degree

Eugenio Giannelli·Mandi Schaeffer Fry·Carolina Vallejo
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Abstract

Let $G$ be a finite group and let $π$ be a set of primes. Write $\mathrm{Irr}_{π'}(G)$ for the set of irreducible characters of degree not divisible by any prime in $π$. We show that if $π$ contains at most two prime numbers and the only element in $\mathrm{Irr}_{π'}(G)$ is the principal character, then $G=1$.

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Eugenio Giannelli, Mandi Schaeffer Fry, Carolina Vallejo. 2019-03-22. Characters of $π'$-degree. https://arxiv.org/abs/1903.09609

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