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RESEARCH PRODUCT

HALL SUBGROUPS AND STABLE BRAUER CHARACTERS

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AbstractLet $H$ be a Hall $\pi$-subgroup of a finite $\pi$-separable group $G$, and let $\alpha$ be an irreducible Brauer character of $H$. If $\alpha(x)=\alpha(y)$ whenever $x,y \in H$ are $p$-regular and $G$-conjugate, then $\alpha$ extends to a Brauer character of $G$.AMS 2000 Mathematics subject classification: Primary 20C15; 20C20