David Guo

collaborators

3 papers

math.GR2026

Uniformly Almost Flatness and Solubility in Finitely Generated Groups

David Guo

Tointon and the author conjectured that, for a finitely generated residually finite group, virtual nilpotence is equivalent to the condition that the diameters of its finite coset…

math.GR2025

Residually finite groups with uniformly almost flat quotients

David Guo, Matthew Tointon

We show that if all the finite coset spaces of a polycyclic group have diameter bounded uniformly below by a polynomial in their size then the group is virtually nilpotent. We obta…

math.GR2025

The Conjugacy Ratio of Abelian-by-Cyclic Groups

David Guo

Let $G = K ⋊ ⟨ t ⟩$ be a finitely generated group where $K$ is abelian and $⟨ t ⟩$ is the infinite cyclic group. Let $R$ be a finite symmetric subse…