Sylow normalizers and irreducible characters with small cyclotomic field of values
arXiv:2202.13825 · doi:10.1016/j.jalgebra.2022.05.030
Abstract
In this paper, we prove the existence of a relation between the prime divisors of the order of a Sylow normalizer and the degree of characters having values in some small cyclotomic fields. This relation is stronger when the group is solvable.