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May 4, 2023 at 17:59 vote accept Arshak Aivazian
May 4, 2023 at 12:07 history became hot network question
May 4, 2023 at 6:56 answer added Carl-Fredrik Nyberg Brodda timeline score: 9
May 4, 2023 at 5:28 comment added Arshak Aivazian Thanks a lot! If you post your comment as an answer, I will accept it.
May 4, 2023 at 4:58 comment added Carl-Fredrik Nyberg Brodda No. This follows from Adian-Rabin but, more explicitly, Adian in his original paper(s) (see my translation here) gave an infinite family of torsion-free groups for which the triviality problem is undecidable. So one cannot even decide whether a given torsion-free group is trivial. In general there is no simplification by assuming torsion-freeness, the first groups with undecidable word problem are torsion-free.
May 4, 2023 at 4:04 history asked Arshak Aivazian CC BY-SA 4.0