On almost p-rational characters in principal blocks

Maróti, Attila and J., Miquel Martínez and A. A., Schaeffer Fry and Carolina, Vallejo (2025) On almost p-rational characters in principal blocks. PUBLICACIONS MATEMATIQUES, to app. ISSN 0214-1493

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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 pblock 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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