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1.37 (1965)

Solved

Is it true that every subgroup of a locally nilpotent group is quasi-invariant?

Contributor: Sh. S. Kemkhadze

Progress

No, not always; for example, in the inductive limit of Sylow $p$-subgroups of symmetric groups of degrees $p^i$, $i = 1, 2, \dots$ (V. I. Sushchanskiĭ, Abstracts of 15th All-USSR Algebraic Conf., Krasnoyarsk, 1979, 154 (Russian)).

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