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Apr 4, 2021 at 10:02 history edited ARG CC BY-SA 4.0
fixed some latex issues
Apr 4, 2021 at 10:01 review Close votes
Apr 12, 2021 at 19:41
Apr 4, 2021 at 9:55 history edited stephen CC BY-SA 4.0
added 24 characters in body
Apr 4, 2021 at 9:54 comment added stephen @YCor, yes, I wanted "non-virtually abelian" and will edit it. But could you provide me some references to your answers? in particular, relevant to (b)? I tried to search in literatures but found nothing. Thanks a lot!
Apr 4, 2021 at 9:46 comment added YCor The question is quite trivial since all finite groups appear. It would make more sense with "virtually". The short answer is that (a) discrete virtually solvable subgroups are virtually abelian (b) virtually nilpotent subgroups are virtually abelian (c) there exist virtually solvable subgroups that are not virtually abelian [hence, by a,b, neither discrete nor virtually nilpotent]
Apr 4, 2021 at 9:11 history asked stephen CC BY-SA 4.0