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14.52 (1999)

Solved

It is known that if a finitely generated group is residually torsion-free nilpotent, then the group is residually finite $p$-group, for every prime $p$. Is the converse true?

Contributor: Yu. V. Kuz'min

Progress

Not always (B. Hartley, in: Symposia Mathematica, Bologna, Vol. XVII, Convegno sui Gruppi Infiniti, INDAM, Roma, 1973, Academic Press, London, 1976, 225–234).

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