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- W2963622391 abstract "We say that $x,yin Gamma$ are in the same $phi$-twisted conjugacy class and write $xsim_phi y$ if there exists an element $gammain Gamma$ such that $y=gamma xphi(gamma^{-1})$. This is an equivalence relation on $Gamma$ called the $phi$-twisted conjugacy. Let $R(phi)$ denote the number of $phi$-twisted conjugacy classes in $Gamma$. If $R(phi)$ is infinite for all $phiin Aut(Gamma)$, we say that $Gamma$ has the $R_infty$-property. The purpose of this note is to show that the symmetric group $S_infty$, the Houghton groups and the pure symmetric automorphism groups have the $R_infty$-property. We show, also, that the Richard Thompson group $T$ has the $R_infty$-property. We obtain a general result establishing the $R_infty$-property of finite direct product of finitely generated groups." @default.
- W2963622391 created "2019-07-30" @default.
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- W2963622391 date "2016-01-28" @default.
- W2963622391 modified "2023-09-26" @default.
- W2963622391 title "Sigma theory and twisted conjugacy, II: Houghton groups and pure symmetric automorphism groups" @default.
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- W2963622391 doi "https://doi.org/10.2140/pjm.2016.280.349" @default.
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