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3.47 (1969)

Partially Solved

(Well-known problem of A. I. Maltsev). Is it true that every locally nilpotent group is a homomorphic image of some torsion-free locally nilpotent group?

Contributor: B. I. Plotkin

Progress

Editors’ comment: An affirmative answer is known for periodic groups (E. M. Levich, A. I. Tokarenko, Siberian Math. J., 11 (1970), 1033–1034) and for countable groups (N. S. Romanovskiĭ, Preprint, 1969).

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