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

Eugenio Giannelli, Joan Tent, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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)
Pages (from-to)2199-2228
Number of pages30
JournalJournal of Pure and Applied Algebra
Volume222
Issue number8
DOIs
StatePublished - Aug 2018

ASJC Scopus subject areas

  • Algebra and Number Theory

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