On representations of the group of Listing’s knot by subgroups of $\textrm {SL}(2, C)$

Abstract:

The subgroups $G$ of $SL(2,C)$ which represent the group of Listing’s knot are characterized by the traces of $A,B$ and $AB$, where $A$ and $B$ are matrices which generate $G$. From this it follows that there exist finitely generated nondiscrete subgroups of $SL(2,R)$ which are not isomorphic to any Fuchsian group.