Arman Darbinyan
Abstract
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We show the existence of finitely presented torsion-free groups with\ndecidable word problem that cannot be embedded in any finitely generated group\nwith decidable conjugacy problem. This answers a well-known question of Collins\nfrom the early 1970's.\n
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We show the existence of finitely presented torsion-free groups with\ndecidable word problem that cannot be embedded in any finitely generated group\nwith decidable conjugacy problem. This answers a well-known question of Collins\nfrom the early 1970's.\n
Key concepts: Conjugacy problem, Decidability, Word problem (mathematics education), Mathematics, Conjugacy class, Finitely-generated abelian group, Word (group theory), Torsion (gastropod)