Proceedings of the Japan Academy, Series A, Mathematical Sciences

Defect zero characters and relative defect zero characters

Masafumi Murai

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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

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

First available in Project Euclid: 6 November 2012

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

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


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.

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