Wagner C. Sgobbi

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20212026

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math.GR2026

The $R_{\infty}$ -nilpotency degree of some lollipop GBS groups

Wagner Sgobbi, Dalton Couto Silva, Daniel Vendrúscolo

We say that a group $G$ has the $R_{\infty}$ property if the number $R (φ)$ of twisted conjugacy classes is infinite for any automorphism $φ$ of $G$ . The $R_{\infty}$ -nilpotency deg…

math.GR2025

Property $R_{\infty}$ for groups with infinitely many ends

Francesco Fournier-Facio, Harry Iveson, Armando Martino +2

We show that an accessible group with infinitely many ends has property $R_{\infty}$ . That is, it has infinitely many twisted conjugacy classes for any twisting automorphism. We de…

math.GR2022

The $R_{\infty}$ property for nilpotent quotients of generalized solvable Baumslag-Solitar groups

Wagner C. Sgobbi, Dalton C. Silva, Daniel Vendrúscolo

We say a group $G$ has property $R_{\infty}$ if the number $R (φ)$ of twisted conjugacy classes is infinite for every automorphism $φ$ of $G$ . For such groups, the $R_{\infty}$ -nilpoten…

math.GR2021

The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups

Wagner Sgobbi, Peter Wong

We compute the Bieri-Neumann-Strebel invariants $Σ^{1}$ for the generalized solvable Baumslag-Solitar groups $Γ_{n}$ and their finite index subgroups. Using $Σ^{1}$ , we show that certain…

The R∞​-nilpotency degree of some lollipop GBS groups

Property R∞​ for groups with infinitely many ends

The R∞​ property for nilpotent quotients of generalized solvable Baumslag-Solitar groups

The BNS invariants of the generalized solvable Baumslag-Solitar groups and of their finite index subgroups

The $R_{\infty}$ -nilpotency degree of some lollipop GBS groups

Property $R_{\infty}$ for groups with infinitely many ends

The $R_{\infty}$ property for nilpotent quotients of generalized solvable Baumslag-Solitar groups