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arXiv · 1708.09047

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

Arman Darbinyan
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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. 2019-11-28. Groups with decidable word problem that do not embed in groups with decidable conjugacy problem. https://arxiv.org/abs/1708.09047

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