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

Nicola Grittini
Primo
;
Marco Antonio Pellegrini
Ultimo
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.
Inglese
Grittini, N., Pellegrini, M. A., Sylow normalizers and irreducible characters with small cyclotomic field of values, <>, 2022; 608 (15 October 2022): 445-464. [doi:10.1016/j.jalgebra.2022.05.030] [http://hdl.handle.net/10807/211904]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/211904
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