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Jun 19, 2020 at 13:30 comment added YCor Actually Hall's result was extended by Roseblade to f.g. abelian-by-polycyclic, which was apparently very hard.
Jun 19, 2020 at 13:30 history edited Carl-Fredrik Nyberg Brodda CC BY-SA 4.0
Changed nilp-by-nilp to ab-by-nilp to reflect comment by YCor.
Jun 19, 2020 at 13:29 comment added Carl-Fredrik Nyberg Brodda @YCor Thank you. The claim that f.g. metanilpotent groups are RF is stated exactly as such in the Baumslag article from 1963 on automorphism groups, so this seems an oversight from him. I'll edit to reflect this.
Jun 19, 2020 at 13:22 comment added YCor Hall proved that f.g. abelian-by-nilpotent groups are residually finite. But it's false for f.g. nilpotent-by-nilpotent groups, and Hall himself constructed examples.
S Jun 19, 2020 at 13:15 history answered Carl-Fredrik Nyberg Brodda CC BY-SA 4.0
S Jun 19, 2020 at 13:15 history made wiki Post Made Community Wiki by Carl-Fredrik Nyberg Brodda