On almost p-rational characters in principal blocks

• Maróti, Attila ; Martínez, J. Miquel ^[1] ; Schaeffer Fry, A. A. ; Vallejo, Carolina
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 70, Nº 1, 2026, págs. 55-78
• Idioma: inglés
• DOI: 10.5565/publmat7012603
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.