Lawk Mineh

activity

20232026

collaborators

4 papers

math.GR2026

Realising all countable groups as quasi-isometry groups

Paula Heim, Joseph MacManus, Lawk Mineh

Given any countable group $G$ , we construct uncountably many quasi-isometry classes of proper geodesic metric spaces with quasi-isometry group isomorphic to $G$ . Moreover, if the g…

math.GR2025

Product separability in central extensions

Lawk Mineh

We show that a central extension of locally quasiconvex subgroup separable hyperbolic group is product separable, so long as it is subgroup separable. We also establish that a cent…

math.GR2024

Tiling in some nonpositively curved groups

Joseph MacManus, Lawk Mineh

We prove that acylindrically hyperbolic groups are monotileable. That is, every finite subset of the group is contained in a finite tile. This provides many new examples of monotil…

math.GR2023

Structure of quasiconvex virtual joins

Lawk Mineh

Let $G$ be a relatively hyperbolic group and let $Q$ and $R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups $Q^{'} ⩽_{f} Q$ …