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

• 成果类型: Article
• 署名作者: Darbinyan, Arman
• 署名单位: Texas A&M University System; Texas A&M University College Station
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-020-01022-0
• 发表日期: 2021
• 页码: 987-997
• 关键词: SUBGROUPS; length

摘要

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.