Irreducible characters of 3'-degree of finite symmetric, general linear and unitary groups

Eugenio Giannelli, Joan Tent, Pham Huu Tiep

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Abstract

Let G be a finite symmetric, general linear, or general unitary group defined over a field of characteristic coprime to 3. We construct a canonical correspondence between irreducible characters of degree coprime to 3 of G and those of NG(P), where P is a Sylow 3-subgroup of G. Since our bijections commute with the action of the absolute Galois group over the rationals, we conclude that fields of values of character correspondents are the same.

Original languageEnglish (US)
JournalJournal of Pure and Applied Algebra
DOIs
Publication statusAccepted/In press - 2017
Externally publishedYes

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ASJC Scopus subject areas

  • Algebra and Number Theory

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