p-length and character degrees in p-solvable groups

Nicola Grittini

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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
Stato di pubblicazionePubblicato - 2020


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


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