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

Harvey I. Blau, David Chillag
1986 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-1986-0848863-2 fatcat:cdmgboc3dnfpfed6d23i62lqv4