On almost $p$-rational characters in principal blocks
Representation Theory
2024-09-18 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.2401.09224,
title = {On almost $p$-rational characters in principal blocks},
author = {Attila Maróti and J. Miquel Martínez and A. A. Schaeffer Fry and Carolina Vallejo},
journal= {arXiv preprint arXiv:2401.09224},
year = {2024}
}
Comments
To appear in Publicacions Matem\`atiques