3 problems

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Simon’s finiteness conjecture for knot-group quotients
Simon’s finiteness conjecture. There are only finitely many knot groups $H$ for which there is an epimorphism $G\twoheadrightarrow H$ .
Conjecturesolved3-manifold-groups group-epimorphisms knot-groupsarXiv posted 2 days ago
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Simon’s finite-length conjecture for epimorphisms of knot groups
Simon’s finite-length conjecture. There is a number $N_G$ such that every epimorphism sequence with $n\geq N_G$ contains an isomorphism.
Conjecturesolved3-manifold-groups group-epimorphisms knot-groupsarXiv posted 2 days ago
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The representation-polynomial divisibility conjecture for epimorphisms of 2-bridge knot groups
Representation-polynomial divisibility conjecture. If $f_2(z)$ divides $f_1(z)$ , then there exists an epimorphism
Conjectureopen2-bridge-knots group-epimorphisms knot-theoryarXiv posted 2 days ago

Simon’s finiteness conjecture for knot-group quotients