p-length and character degrees in p-solvable groups

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

Let G be a p-solvable group, where p is a prime. We prove that the p-length of G is less or equal then the number of distinct irreducible character degrees of G not divisible by p. Furthermore, we prove that the result still holds if we impose some restriction on the field of values of the characters. In particular, if p=2, we can consider only rational-valued characters.
Lingua originaleEnglish
pagine (da-a)454-462
Numero di pagine9
RivistaJournal of Algebra
Volume544
DOI
Stato di pubblicazionePubblicato - 2020

Keywords

  • Character degrees
  • Rational-valued characters
  • p'-rational characters
  • p-length

Fingerprint

Entra nei temi di ricerca di 'p-length and character degrees in p-solvable groups'. Insieme formano una fingerprint unica.

Cita questo