Lawk Mineh

activity

20242026

collaborators

6 papers

math.GR2026

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.GR2026

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.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

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 $Q^{'} ⩽_{f} Q$ …

math.GR2025

Quasiconvexity of virtual joins and separability of products in relatively hyperbolic groups

Ashot Minasyan, Lawk Mineh

A relatively hyperbolic group $G$ is said to be QCERF if all finitely generated relatively quasiconvex subgroups are closed in the profinite topology on $G$ . Assume that $G$ is a Q…

math.GR2024

Separability in Morse local-to-global groups

Lawk Mineh, Davide Spriano

We show that in a Morse local-to-global group where stable subgroups are separable, the product of any stable subgroups is separable. As an application, we show that the product of…