2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153369We show that the number of homomorphisms from a knot group to a finite group $G$ cannot be a Vassiliev invariant, unless it is constant on the set of $(2,2p+1)$ torus knots. In several cases, such as when $G$ is a dihedral or symmetric group, this implies that the number of homomorphisms is not a Vassiliev invariant.4 pages, LaTeXQuantum Algebratext