P-steinberg characters of finite simple groups

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Abstract

LetGbe a finite group andpa prime divisor of |G|. Ap-Steinberg character ofGis an irreducible character χ ofGsuch that χ(x)=±|CG(x)|pfor everyp′-elementx∈G. A conjecture of W. Feit states that if a finite simple groupGhas ap-Steinberg character thenGis a finite simple group of Lie type in characteristicp. In this paper we prove this conjecture, using the classification of finite simple groups.

Original languageEnglish (US)
Pages (from-to)304-319
Number of pages16
JournalJournal of Algebra
Volume187
Issue number1
DOIs
StatePublished - Jan 1 1997

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ASJC Scopus subject areas

  • Algebra and Number Theory

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