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Twisted conjugacy and quasi-isometry invariance for generalized solvable Baumslag-Solitar groups

Twisted conjugacy and quasi-isometry invariance for generalized solvable Baumslag-Solitar groups

We say that a group has property Rāˆž if any group automorphism has an infinite number of twisted conjugacy classes. Fel'shtyn and GonƧalves proved that the solvable Baumslag-Solitar groups BS(1, m) have property Rāˆž. We define a solvable generalization Ī“(S) of these groups which is shown to have property Rāˆž. ā€¦