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 ${\Sigma }^1$ for the generalized solvable Baumslag-Solitar groups ${\Gamma }_n$ and their finite index subgroups. Using ${\Sigma }^1$, we show that certain…