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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

1.Curtis, C. W. and Reiner, I., Representation theory of finite groups and associative algebras (Interscience, New York, London, 1962).Google Scholar
2.Gallagher, P. X., Group characters and normal Hall subgroups, Nagoya Math. J. 21 (1962), 223–230.CrossRefGoogle Scholar