We prove that if G is a finite group and p is a prime such that the degree of every real-valued irreducible complex, respectively real-valued irreducible p-Brauer character, of G is coprime to p, then Op'(G) is solvable. This result is a generalization of the celebrated Ito-Michler theorem for real ordinary characters, respectively real Brauer characters, with Frobenius-Schur indicator 1.
- Frobenius-Schur indicator
- Real-valued Brauer characters
- Real-valued ordinary characters
ASJC Scopus subject areas
- Applied Mathematics