Groups with decidable word problem that do not embed in groups with decidable conjugacy problem [article]

Arman Darbinyan
2019 arXiv   pre-print
We show the existence of finitely presented torsion-free groups with decidable word problem that cannot be embedded in any finitely generated group with decidable conjugacy problem. This answers a well-known question of Collins from the early 1970's.
arXiv:1708.09047v2 fatcat:z4dc5ciq5rbf5gh4vqw5do674m