2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223517It is conjectured that for each knot $K$ in $S^3$, the fundamental group of its complement surjects onto only finitely many distinct knot groups. Applying character variety theory we obtain an affirmative solution of the conjecture for a class of small knots that includes 2-bridge knots.18 pagesGeometric TopologyGroup TheorySimon's conjecture for 2-bridge knotstext