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CHARACTERS OF PRIME DEGREE

Published online by Cambridge University Press:  01 August 2011

EDITH ADAN-BANTE
EDITH ADAN-BANTE*
Affiliation:
Department of Mathematical Science, Northern Illinois University, Watson Hall 320, DeKalb, IL 60115-2888, USA e-mail: EdithAdan@illinoisalumni.org
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Abstract

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Let G be a finite nilpotent group, χ and ψ be irreducible complex characters of G with prime degree. Assume that χ(1) = p. Then, either the product χψ is a multiple of an irreducible character or χψ is the linear combination of at least $\frac{p+1}{2}$ distinct irreducible characters.

Keywords

20c15

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011, pp. 419 - 426
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

REFERENCES

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