Wagner C. Sgobbi

activity

20212026

collaborators

5 papers

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.AT2023

The BNS invariants of the braid groups and pure braid groups of some surfaces

Carolina de Miranda e Pereiro, Wagner Sgobbi

We compute and explicitly describe the Bieri-Neumann-Strebel invariants $Σ^{1}$ for the full and pure braid groups of the sphere $S^{2}$ , the real projective plane $\mathbb{R}…

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 BNS invariants of the braid groups and pure braid groups of some surfaces

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