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arXiv · 2202.13825

Sylow normalizers and irreducible characters with small cyclotomic field of values

Nicola Grittini·Marco Antonio Pellegrini
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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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Nicola Grittini, Marco Antonio Pellegrini. 2022-04-08. Sylow normalizers and irreducible characters with small cyclotomic field of values. https://doi.org/10.1016/j.jalgebra.2022.05.030

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