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Sylow normalizers and irreducible characters with small cyclotomic field of values.

Authors :
Grittini, Nicola
Pellegrini, Marco Antonio
Source :
Journal of Algebra. Oct2022, Vol. 608, p445-464. 20p.
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218693
Volume :
608
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
158310652
Full Text :
https://doi.org/10.1016/j.jalgebra.2022.05.030