Twisted conjugacy classes of Automorphisms of Baumslag-Solitar groups

• Date: 2018
• Main Authors: Fel’shtyn, Alexander, Goncalves, Daciberg L.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Reidemeister number; twisted conjugacy classes; Baumslag-Solitar groups; 20E45; 37C25; 55M20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/896
• Journal Title: Algebra and Discrete Mathematics

Let \(\phi:G \to G\) be a group endomorphism where \(G\) is a finitely generated group of exponential growth, and denote by \(R(\phi)\) the number of twisted \(\phi\)-conjugacy classes. Fel'shtyn and Hill [7] conjectured that if \(\phi\) is injective, then \(R(\phi)\) is infinite. This conjectu...