Representing Knot Groups Into SL(2, C )

D. Cooper, D. D. Long
1992 Proceedings of the American Mathematical Society  
We show that if a knot in S3 has nontrivial Alexander polynomial then the fundamental group of its complement has a representation into SL(2, C) whose image contains a free group of rank two.
doi:10.2307/2159765 fatcat:cljlhcecnzf4dkwucwtcur6kfq