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Coprime actions and degrees of primitive inducers of invariant characters

Published online by Cambridge University Press:  17 April 2009

Alexander Moretó  and
Lucía Sanus
Alexander Moretó
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, 48080 Bilbao, Spain, e-mail: mtbmoqua@lg.ehu.es
Lucía Sanus
Affiliation:
Departament d'Àlgebra, Universitat de València, 46100 Burjassot, València, Spain, e-mail: lucia.sanus@uv.es
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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.

Information

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

References

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