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On knot-like groups and ribbon concordance

By D.S. Silver

Abstract

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

Publisher: Published by Elsevier B.V.
Year: 1992
DOI identifier: 10.1016/0022-4049(92)90013-6
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