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arXiv · 2004.10261

Groups with few $p'$-character degrees in the principal block

Eugenio Giannelli·Noelia Rizo·Benjamin Sambale·A. A. Schaeffer Fry
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Abstract

Let p be a prime larger than 3 and let G be a finite group. We prove that G is p-solvable of p-length at most 2 if there are at most two distinct character degrees relatively prime to p in the principal p-block of G. This generalizes a theorem of Isaacs-Smith, as well as a recent result of three of the present authors.

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Eugenio Giannelli, Noelia Rizo, Benjamin Sambale, A. A. Schaeffer Fry. 2020-04-21. Groups with few $p'$-character degrees in the principal block. https://arxiv.org/abs/2004.10261

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