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

Published 29 Aug 2017 in math.GR and math.LO | (1708.09047v2)

Abstract: 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.

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Arman Darbinyan

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