AbstractWe consider the following conjecture of E.S. Rapaport: If G is a knot-like group and its commutator subgroup G′ is finitely generated, then G′ is free. We prove this for any knot-like 3-manifold group. We also prove Rapaport's conjecture for the group of any ‘efficient’ ribbon concordance. Consequently, for any efficient ribbon concordance from K1 to K0 with K1 fibered, K0 is also fibered
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