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8.67 (1982)

Open

Does there exist a Golod group all of whose abelian subgroups have finite ranks? Here a Golod group means a finitely generated non-nilpotent subgroup of the adjoint group of a nil-ring.

Contributor: A. I. Sozutov

Progress

The answer is negative for the whole adjoint group of a nil-ring (Ya. P. Sysak, Abstracts of the 17th All–Union Algebraic Conf., part 1, Minsk, 1983, p. 180 (Russian)).

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