On powers of characters and powers of conjugacy classes of a finite group

Authors:
Harvey I. Blau and David Chillag

Journal:
Proc. Amer. Math. Soc. **98** (1986), 7-10

MSC:
Primary 20C15

DOI:
https://doi.org/10.1090/S0002-9939-1986-0848863-2

MathSciNet review:
848863

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Abstract: Two results are proved. The first gives necessary and sufficient conditions for a power of an irreducible character of a finite group to have exactly one irreducible constituent. The other presents necessary and sufficient conditions for a power of a conjugacy class of a finite group to be a single conjugacy class. Examples are given.

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DOI:
https://doi.org/10.1090/S0002-9939-1986-0848863-2

Article copyright:
© Copyright 1986
American Mathematical Society