2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76172In this paper we prove that a wild knot $K$ which is the limit set of a Kleinian group acting conformally on the unit 3-sphere, with its standard metric, is homogeneous: given two points $p, q\in{K}$ there exists a homeomorphism $f$ of the sphere such that $f(K)=K$ and $f(p)=q$. We also show that if the wild knot is a fibered knot then we can choose an $f$ which preserves the fibers.Accepted in Revista Matematica ComplutenseGeometric Topology57M30; 57M45; 57Q45; 30F14text