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5.39 (1976)

Open

Prove that every countable group can act faithfully as a group of automorphisms of a finitely generated soluble group (of derived length at most 4). For background to this problem, in particular its relationship with problem 8.50, see (P. M. Neumann, in: Groups–Korea, Pusan, 1988 (Lect. Notes Math., 1398), Springer, Berlin, 1989, 124–139).

Contributor: P. M. Neumann

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