Sylow normalizers and irreducible characters with small cyclotomic field of values

Nicola Grittini; Marco Antonio Pellegrini

doi:10.1016/j.jalgebra.2022.05.030

Sylow normalizers and irreducible characters with small cyclotomic field of values

Nicola Grittini^*
, Marco Antonio Pellegrini

^*Corresponding author

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	445-464
Number of pages	20
Journal	Journal of Algebra
Volume	608
DOIs	https://doi.org/10.1016/j.jalgebra.2022.05.030
Publication status	Published - 2022

Keywords

Character degrees
Cyclotomic fields
Field of values
Prime divisors
Sylow normalizers

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10.1016/j.jalgebra.2022.05.030

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@article{17bc5695ac94496989c3693302064fba,

title = "Sylow normalizers and irreducible characters with small cyclotomic field of values",

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.",

keywords = "Character degrees, Cyclotomic fields, Field of values, Prime divisors, Sylow normalizers, Character degrees, Cyclotomic fields, Field of values, Prime divisors, Sylow normalizers",

author = "Nicola Grittini and Pellegrini, \{Marco Antonio\}",

year = "2022",

doi = "10.1016/j.jalgebra.2022.05.030",

language = "English",

volume = "608",

pages = "445--464",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Sylow normalizers and irreducible characters with small cyclotomic field of values

AU - Grittini, Nicola

AU - Pellegrini, Marco Antonio

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Character degrees

KW - Cyclotomic fields

KW - Field of values

KW - Prime divisors

KW - Sylow normalizers

KW - Character degrees

KW - Cyclotomic fields

KW - Field of values

KW - Prime divisors

KW - Sylow normalizers

UR - http://hdl.handle.net/10807/211904

U2 - 10.1016/j.jalgebra.2022.05.030

DO - 10.1016/j.jalgebra.2022.05.030

M3 - Article

SN - 0021-8693

VL - 608

SP - 445

EP - 464

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Sylow normalizers and irreducible characters with small cyclotomic field of values

Abstract

Keywords

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