Groups with decidable word problem that do not embed in groups with decidable conjugacy problem
Group Theory
2019-12-02 v2 Logic
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.
Keywords
Cite
@article{arxiv.1708.09047,
title = {Groups with decidable word problem that do not embed in groups with decidable conjugacy problem},
author = {Arman Darbinyan},
journal= {arXiv preprint arXiv:1708.09047},
year = {2019}
}
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