A wild knot $\mathbb{S}^{2}\hookrightarrow\mathbb{S}^{4}$ as limit set of a Kleinian Group: Indra's pearls in four dimensions

The purpose of this paper is to construct an example of a 2-knot wildly embedded in $\mathbb{S}^{4}$ as the limit set of a Kleinian group. We find that this type of wild 2-knots has very interesting topological properties.