Simon's conjecture on surjections between knot groups

A knot group is the fundamental group of the complement of a knot in S3S^3. Simon's conjecture. A knot group can surject onto only finitely many other knot groups. This is an attribution to J. Simon and concerns the possible quotient relationships among knot groups. The source provides no resolution evidence for this statement, so its status remains open.

Sources & referencesView supporting material

Primary source

Jason Callahan, “Conjugate Generators of Knot and Link Groups”, arXiv:0806.3452 (2009).

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