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12.90 (1992)

Solved

Let $G$ be a finitely generated soluble minimax group and let $H$ be a finitely generated residually finite group which has precisely the same finite images as $G$. Must $H$ be a minimax group?

Contributor: John S. Wilson

Progress

Yes, it must (A. Mann, D. Segal, Proc. London Math. Soc. (3), 61 (1990), 529–545; see also A. V. Tushev, Math. Notes, 56, no. 5 (1994), 1190–1192).

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