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4.10 (1973)

Solved

A group $G$ is called locally indicable if every non-trivial finitely generated subgroup of $G$ has an infinite cyclic factor group. Is every torsion-free one-relator group locally indicable?

Contributor: G. Baumslag

Progress

Yes, it is (S. D. Brodskiĭ, Dep. no. 2214-80, VINITI, Moscow, 1980 (Russian)).

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