Open Access
November 2012 Defect zero characters and relative defect zero characters
Masafumi Murai
Proc. Japan Acad. Ser. A Math. Sci. 88(9): 149-151 (November 2012). DOI: 10.3792/pjaa.88.149

Abstract

For a normal subgroup $K$ of a finite group $G$ and a $G$-invariant irreducible character $\xi$ of $K$ we show under a certain condition there is a bijection between the set of relative defect zero irreducible characters of $G$ lying over $\xi$ and the set of defect zero irreducible characters of $G/K$.

Citation

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Masafumi Murai. "Defect zero characters and relative defect zero characters." Proc. Japan Acad. Ser. A Math. Sci. 88 (9) 149 - 151, November 2012. https://doi.org/10.3792/pjaa.88.149

Information

Published: November 2012
First available in Project Euclid: 6 November 2012

zbMATH: 1280.20010
MathSciNet: MR3000893
Digital Object Identifier: 10.3792/pjaa.88.149

Subjects:
Primary: 20C20
Secondary: 20C15

Keywords: blocks with central defect groups , Defect zero character , relative defect zero character

Rights: Copyright © 2012 The Japan Academy

Vol.88 • No. 9 • November 2012
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