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Twisted conjugacy and quasi-isometry invariance for generalized solvable Baumslag-Solitar groups

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 نشر من قبل Jennifer Taback
 تاريخ النشر 2006
  مجال البحث
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We say that a group has property $R_{infty}$ if any group automorphism has an infinite number of twisted conjugacy classes. Felshtyn and Goncalves prove that the solvable Baumslag-Solitar groups BS(1,m) have property $R_{infty}$. We define a solvable generalization $Gamma(S)$ of these groups which we show to have property $R_{infty}$. We then show that property $R_{infty}$ is geometric for these groups, that is, any group quasi-isometric to $Gamma(S)$ has property $R_{infty}$ as well.



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