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 language | English (US) |
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Pages (from-to) | 304-319 |
Number of pages | 16 |
Journal | Journal of Algebra |
Volume | 187 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 1997 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory