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- W3000621781 abstract "A group $G$ is said to have property $R_{infty}$ if for every automorphism $varphi in {rm Aut}(G)$, the cardinality of the set of $varphi$-twisted conjugacy classes is infinite. Many classes of groups are known to have such property. However, very few examples are known for which $R_{infty}$ is {it geometric}, i.e., if $G$ has property $R_{infty}$ then any group quasi-isometric to $G$ also has property $R_{infty}$. In this paper, we give examples of groups and conditions under which $R_{infty}$ is preserved under commensurability. The main tool is to employ the Bieri-Neumann-Strebel invariant." @default.
- W3000621781 created "2020-01-23" @default.
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- W3000621781 date "2020-01-07" @default.
- W3000621781 modified "2023-09-27" @default.
- W3000621781 title "Twisted conjugacy and commensurability invariance" @default.
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