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On almost $p$-rational characters in principal blocks

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arxiv 2401.09224 v2 pith:2GYO5RAH submitted 2024-01-17 math.RT math.GR

Attila Maróti , J. Miquel Martínez , A. A. Schaeffer Fry , Carolina Vallejo This is my paper · ORCID
classification math.RTmath.GR
keywords almostboundcharactersprincipalabove-mentionedblockscoprimedegree
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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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Cited by 1 Pith paper

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  1. The continuity of $p$-rationality of characters and the principal block

    math.RT 2024-12 conditional novelty 6.0 of 10

    The paper proves the p=2 principal-block case of a continuity conjecture for character rationality and conjectures a local criterion for the level-1 gap.

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