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- W2949095284 abstract "A group $G$ is said to have the property $R_infty$ if every automorphism $phi in {rm Aut}(G)$ has an infinite number of $phi$-twisted conjugacy classes. Recent work of Gonc{c}alves and Kochloukova uses the $Sigma^n$ (Bieri-Neumann-Strebel-Renz) invariants to show the $R_{infty}$ property for a certain class of groups, including the generalized Thompson's groups $F_{n,0}$. In this paper, we make use of the $Omega^n$ invariants, analogous to $Sigma^n$, to show $R_{infty}$ for certain finitely generated groups. In particular, we give an alternate and simpler proof of the $R_{infty}$ property for BS(1,n). Moreover, we give examples for which the $Omega^n$ invariants can be used to determine the $R_{infty}$ property while the $Sigma^n$ invariants techniques cannot." @default.
- W2949095284 created "2019-06-27" @default.
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- W2949095284 date "2009-11-17" @default.
- W2949095284 modified "2023-09-27" @default.
- W2949095284 title "A relationship between twisted conjugacy classes and the geometric invariants $Omega^n$" @default.
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