3 problems

Let $K$ be an oriented knot, let $\pi_K$ denote its knot group, and let $\gamma\colon\pi_K\to\Gamma$ be an epimorphism onto a nontrivial torsion-free elementary-amenable group.…

Let $K$ be a knot. Genus-detecting higher-order torsion conjecture. There exists an epimorphism $\gamma\colon\pi_K\to\Gamma$ onto a torsion-free elementary-amenable group such that…

Let $K\subset S^3$ be an oriented knot. Let $\pi_K$ denote its knot group, let $\gamma\colon \pi_K\to\Gamma$ be an epimorphism onto a torsion-free elementary-amenable group, and le…