Pham Huu Tiep

University of Florida
 
Title: $p$-Steinberg Characters of Finite Simple Groups

Abstract:
  {Let $G$ be a finite group and $p$ a prime divisor of $|G|$. A $p$-Steinberg
character of $G$ is an irreducible character $\chi$ of $G$ such that
$\chi(x) = \pm |C_{G}(x)|_{p}$ for every $p'$-element $x \in G$.
A conjecture of W. Feit states that if a finite simple group $G$ has a
$p$-Steinberg character then $G$ is a finite simple group of Lie type in
characteristic $p$. In this paper we prove this conjecture, using the
classification of finite simple groups.}

The paper has appeared in J. Algebra, 187 (1997), 304 - 319.