2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70234Twenty-five years ago, Conway and Norton published their remarkable paper `Monstrous Moonshine', proposing a completely unexpected relationship between finite simple groups and modular functions. This paper reviews the progress made in broadening and understanding that relationship.33 pages. 10 references added; minor changes to textQuantum AlgebraHigh Energy Physics - TheoryRepresentation Theory11F22; 17B69, 17B67, 81T40text