A 2-generated 2-related group with no non-trivial finite quotients

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Ol’shanskii, A.Yu., Sapir, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157363
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A 2-generated 2-related group with no non-trivial finite quotients / A.Yu. Ol’shanskii, M.V. Sapir // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 111–114. — Бібліогр.: 7 назв. — англ.

We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button.