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On extension of characters from normal subgroups

Published online by Cambridge University Press:  20 January 2009

G. Karpilovsky
G. Karpilovsky
Affiliation:
La Trobe UniversityDepartment of Pure MathematicsBundoora, Victoria Australia, 3083
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In what follows, character means irreducible complex character.

Let G be a finite group and let % be a character of a normal subgroup N. If χ extends to a character of G then χ is stabilised by G, but the converse is false. The aim of this paper is to prove the following theorem which gives a sufficient condition for χ to be extended to a character of G.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 1 , February 1984 , pp. 7 - 9
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

REFERENCES

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