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 finite index subgroups of $\Gamma_n$ cannot be isomorphic to $\Gamma_{k}$ for any $k$. In addition, we use the BNS-invariants to give a new proof of property $R_\infty$ for the groups $\Gamma_n$ and their finite index subgroups.Comment: 20 page
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We e...
The σ 2-invariants of the generalised Thompson group are calculated for n≥3. The case n=2 was solved...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...
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The Bieri-Neumann-Strebel invariant ∑m (G) of a group G is a certain subset of a sphere that contain...
The Bieri-Neumann-Strebel invariant Sigma(m) (G) of a group G is a certain subset of a sphere that c...
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The Galois--McKay conjecture is a refinement of the McKay conjecture that additionally takes some Ga...
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AbstractThe Bieri–Neumann–Strebel invariant Σm(G) of a group G is a certain subset of a sphere that ...
Let $N$ be a normal subgroup of a finite group $G$ and let $H/N$ be a normal $p$-subgroup of $G/N,$ ...
We examine both the group von Neumann algebras of the Baumslag-Solitar groups and the crossed produc...
This paper concerns the non-commutative analog of the Normal Subgroup Theorem for certain groups. In...
A rank $n$ generalized Baumslag-Solitar group is a group that splits as a finite graph of groups suc...
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We e...
The σ 2-invariants of the generalised Thompson group are calculated for n≥3. The case n=2 was solved...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...
Let $\Gamma$ be a countable group and $\operatorname{Sub}(\Gamma)$ its Chabauty space, namely the co...
The Bieri-Neumann-Strebel invariant ∑m (G) of a group G is a certain subset of a sphere that contain...
The Bieri-Neumann-Strebel invariant Sigma(m) (G) of a group G is a certain subset of a sphere that c...
Given a Baumslag-Solitar group, we study its space of subgroups from a topological and dynamical per...
We inspect the BNSR-invariants Σm(Pn) of the pure braid groups Pn, using Morse theory. The BNS-invar...
The Galois--McKay conjecture is a refinement of the McKay conjecture that additionally takes some Ga...
Using computations in the bidual of $\mathbb{B}(L^2M)$ we develop a new technique at the von Neumann...
AbstractThe Bieri–Neumann–Strebel invariant Σm(G) of a group G is a certain subset of a sphere that ...
Let $N$ be a normal subgroup of a finite group $G$ and let $H/N$ be a normal $p$-subgroup of $G/N,$ ...
We examine both the group von Neumann algebras of the Baumslag-Solitar groups and the crossed produc...
This paper concerns the non-commutative analog of the Normal Subgroup Theorem for certain groups. In...
A rank $n$ generalized Baumslag-Solitar group is a group that splits as a finite graph of groups suc...
The equivariant coarse index is well-understood and widely used for actions by discrete groups. We e...
The σ 2-invariants of the generalised Thompson group are calculated for n≥3. The case n=2 was solved...
We compute and explicitly describe the Bieri-Neumann-Strebel invariants $\Sigma^1$ for the full and ...