Sylow normalizers and irreducible characters with small cyclotomic field of values
Group Theory
2022-06-22 v3
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.
Cite
@article{arxiv.2202.13825,
title = {Sylow normalizers and irreducible characters with small cyclotomic field of values},
author = {Nicola Grittini and Marco Antonio Pellegrini},
journal= {arXiv preprint arXiv:2202.13825},
year = {2022}
}