P-steinberg characters of finite simple groups

Pham Huu Tiep

doi:10.1006/jabr.1997.6791

P-steinberg characters of finite simple groups

Pham Huu Tiep

Research output: Contribution to journal › Article › peer-review

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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)=±|C_G(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 language	English (US)
Pages (from-to)	304-319
Number of pages	16
Journal	Journal of Algebra
Volume	187
Issue number	1
DOIs	https://doi.org/10.1006/jabr.1997.6791
State	Published - Jan 1 1997
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.1997.6791

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AB - 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.

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P-steinberg characters of finite simple groups

Abstract

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