Mathematics – Group Theory
Scientific paper
2004-10-27
Mathematics
Group Theory
5 pages, corrected typos, added result
Scientific paper
Let $G$ be a group of odd order and $\chi$ be a complex irreducible
character. Then there exists a unique character $\chi^{(2)}\in\Irr(G)$ such
that $[\chi^2,\chi^{(2)}]$ is odd. Also, there exists a unique character
$\psi\in \Irr(G)$ such that $[\psi^2, \chi]$ is odd.
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