Proceedings of the Japan Academy, Series A, Mathematical Sciences

Defect zero characters and relative defect zero characters

Masafumi Murai

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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 $G/K$.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 88, Number 9 (2012), 149-151.

Dates
First available in Project Euclid: 6 November 2012

Permanent link to this document
https://projecteuclid.org/euclid.pja/1352210376

Digital Object Identifier
doi:10.3792/pjaa.88.149

Mathematical Reviews number (MathSciNet)
MR3000893

Zentralblatt MATH identifier
1280.20010

Subjects
Primary: 20C20: Modular representations and characters
Secondary: 20C15: Ordinary representations and characters

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

Citation

Murai, Masafumi. Defect zero characters and relative defect zero characters. Proc. Japan Acad. Ser. A Math. Sci. 88 (2012), no. 9, 149--151. doi:10.3792/pjaa.88.149. https://projecteuclid.org/euclid.pja/1352210376


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References

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