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Coprime actions and degrees of primitive inducers of invariant characters
Published online by Cambridge University Press: 17 April 2009
Extract
Let a finite group A act coprimely on a finite group G and χ ∈ Irr A(G). Isaacs, Lewis and Navarro proved that if G is nilpotent then the degrees of any two A-primitive characters of A-invariant subgroups of G inducing χ coincide. In this note we aim at extending this result by weakening the hypothesis on G.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 64 , Issue 2 , October 2001 , pp. 315 - 320
- Copyright
- Copyright © Australian Mathematical Society 2001
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