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4.53 (1973)

Solved

P. F. Pickel has proved that there are only finitely many non-isomorphic finitely generated nilpotent groups having the same family of finite homomorphic images. Can Pickel’s theorem be extended to polycyclic groups?

Contributor: V. N. Remeslennikov

Progress

Yes, it can (F. J. Grunewald, P. F. Pickel, D. Segal, Ann. of Math. (2), 111 (1980), 155–195).

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