Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Authors: Fel’shtyn, A., Goncalves, D.L.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157372
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups / A. Fel’shtyn, D.L. Goncalves // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 36–48. — Бібліогр.: 22 назв. — англ.

Let φ : G → G be a group endomorphism where G is a finitely generated group of exponential growth, and denote by R(φ) the number of twisted φ-conjugacy classes. Fel’shtyn and Hill [7] conjectured that if φ is injective, then R(φ) is infinite. This conjecture is true for automorphisms of non-elem...