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arXiv · 2401.09224

On almost $p$-rational characters in principal blocks

Attila Maróti·J. Miquel Martínez·A. A. Schaeffer Fry·Carolina Vallejo
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Abstract

Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order divisible by p. We further describe the p-local structure of the groups for which the above-mentioned bound is sharp.

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Attila Maróti, J. Miquel Martínez, A. A. Schaeffer Fry, Carolina Vallejo. 2024-01-17. On almost $p$-rational characters in principal blocks. https://arxiv.org/abs/2401.09224

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