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1986•Proceedings of the American Mathematical SocietyOpen access

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

Harvey I. Blau, David Chillag

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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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What this paper is about

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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Available 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.

Key concepts: Conjugacy class, Character (mathematics), Mathematics, Character table, Finite group, Group (periodic table), Class (philosophy), Pure mathematics

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