Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p
Abstract
Abstract Let be a finite group and be a prime. We establish an upper bound for the derived length of a Sylow ‐subgroup of in terms of the number of irreducible characters of whose degrees are divisible by . We also prove that if is a ‐block of a finite ‐solvable group with defect group , then the derived length of is at most one more than the number of ordinary irreducible characters of positive height in .
Fields of Study & Subjects
Finite Group Theory Research
graph theory and CDMA systems
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 7
- Publication date
- 26 June 2026
- Language
- EN