Abstract
AbstractWe say that a group has property R ∞ if any group automorphism has an infinite number of twisted conjugacy classes. Fel'shtyn and Goncalves proved that the solvable Baumslag-Solitar groups BS(1, m) have property R ∞ . We define a solvable generalization Γ(S) of these groups which is shown to have property R ∞ . It is also shown that property R ∞ is geometric for these groups, that is, any group quasi-isometric to Γ(S) has property R ∞ as well.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
