N. Nikolov

most citedUniversal lattices and Property

τ

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math.GR2025

The Profinite Rigidity of Torsion-Free Lamplighter Groups

Nikolay Nikolov, Julian Wykowski

We prove that the torsion-free lamplighter group $Γ = Z^{n} ≀ Z$ of any rank $n \in N$ is profinitely rigid in the absolute sense: the finite quotients of…

math.GR2005★ 30 cited

Universal lattices and Property $τ$

Martin Kassabov, Nikolay Nikolov

We prove that the universal lattices -- the groups $G=\SL_d(R)$ where $R = Z [x_{1}, ..., x_{k}]$ , have property $τ$ for $d \geq 3$ . This provides the first example of linear groups with $τ…