2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221997We determine all the multiplicity-free representations of the symmetric group. This project is motivated by a combinatorial problem involving systems of set-partitions with a specific pattern of intersection.52 pages, 4 tablesRepresentation TheoryCombinatoricsMultiplicity-free representations of the symmetric grouptext