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Defect zero characters and relative defect zero characters. (English) Zbl 1280.20010

Summary: 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 \(G/K\).

MSC:

20C20 Modular representations and characters
20C15 Ordinary representations and characters
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References:

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