A relationship between twisted conjugacy classes and the geometric invariants ${\Omega }^n$

Nic Koban, Peter Wong

A group $G$ is said to have the property $R_{\infty }$ if every automorphism $\varphi \in \mathrm{Aut}(G)$ has an infinite number of $\varphi$-twisted conjugacy classes. Recent work of Gonçalves and…