Characters of prime degree

Details Characters of prime degree Characters of prime degree

2008-03-21

arxiv.org/abs/0803.3222v1

Mathematics

Group Theory

8 pages

Scientific paper

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

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