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December 2011 On a minimal counterexample to the Alperin-McKay conjecture
Masafumi Murai
Proc. Japan Acad. Ser. A Math. Sci. 87(10): 192-193 (December 2011). DOI: 10.3792/pjaa.87.192

Abstract

We show for a minimal counterexample ($G,B$) to the Alperin-McKay conjecture, the Fitting subgroup of $G$ is central and $G$ has a unique $G$-conjugacy class of components.

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Masafumi Murai. "On a minimal counterexample to the Alperin-McKay conjecture." Proc. Japan Acad. Ser. A Math. Sci. 87 (10) 192 - 193, December 2011. https://doi.org/10.3792/pjaa.87.192

Information

Published: December 2011
First available in Project Euclid: 1 December 2011

zbMATH: 1237.20011
MathSciNet: MR2863412
Digital Object Identifier: 10.3792/pjaa.87.192

Subjects:
Primary: 20C20

Keywords: Alperin-McKay conjecture

Rights: Copyright © 2011 The Japan Academy

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Vol.87 • No. 10 • December 2011
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