2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68581We show how the sign of a permutation can be deduced from the tableaux induced by the permutation under the Robinson-Schensted-Knuth correspondence. The result yields a simple proof of a conjecture on the squares of imbalances raised by Stanley.11 pagesCombinatoricstext