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HALL SUBGROUPS AND STABLE BRAUER CHARACTERS

Published online by Cambridge University Press:  20 January 2009

Gabriel Navarro
Gabriel Navarro
Affiliation:
Departament d’Àlgebra, Facultat de Matemàtiques, Universitat de València, 46100 Burjassot, València, ES (gabriel@uv.es)
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Abstract

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Let $H$ 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

Keywords

Brauer charactersHall subgroups
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 111 - 115
Copyright
Copyright © Edinburgh Mathematical Society 2001