2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73024Let $G$ be a group of odd order and $χ$ be a complex irreducible character. Then there exists a unique character $χ^{(2)}\in\Irr(G)$ such that $[χ^2,χ^{(2)}]$ is odd. Also, there exists a unique character $ψ\in \Irr(G)$ such that $[ψ^2, χ]$ is odd.5 pages, corrected typos, added resultGroup Theory20 ctext