arXiv · 1809.02947
The $R_\infty$--property for nilpotent quotients of Baumslag--Solitar groups
Abstract
A group $G$ has the $R_{\infty}$--property if the number $R(φ)$ of twisted conjugacy classes is infinite for any automorphism $φ$ of $G$. For such a group $G$, the $R_{\infty}$--nilpotency index is the least integer $c$ such that $G/γ_{c+1}(G)$ still has the $R_\infty$--property. In this paper, we determine the $R_{\infty}$--nilpotency degree of all Baumslag--Solitar groups.
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K. Dekimpe, D. L. Gonçalves. 2018-09-09. The $R_\infty$--property for nilpotent quotients of Baumslag--Solitar groups. https://arxiv.org/abs/1809.02947
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