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.
Grittini, N., Pellegrini, M. A., Sylow normalizers and irreducible characters with small cyclotomic field of values, <<JOURNAL OF ALGEBRA>>, 2022; 608 (15 October 2022): 445-464. [doi:10.1016/j.jalgebra.2022.05.030] [http://hdl.handle.net/10807/211904]
Sylow normalizers and irreducible characters with small cyclotomic field of values
Grittini, Nicola
Primo
;Pellegrini, Marco AntonioUltimo
2022
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.
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