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-lo cal structure of the groups for which the above-mentioned bound is sharp.
On almost $p$-rational characters in principal blocks / Maróti, Attila; Martínez, J. Miquel; Schaeffer Fry, A. A.; Vallejo, Carolina. - In: PUBLICACIONS MATEMÀTIQUES. - ISSN 0214-1493. - STAMPA. - 70:(2026), pp. 55-78. [10.5565/publmat7012603]
On almost $p$-rational characters in principal blocks
Vallejo, Carolina
2026
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-lo cal structure of the groups for which the above-mentioned bound is sharp.
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