John M. Mackay

works on

antipodal paths 1 combinatorial topology 1 hypercube edge-colouring 1 open covers 1 sphere coverings 1

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math.GR2026

Almost planar finitely presented groups

John M. Mackay, Joseph P. MacManus, Davide Spriano

We show that finitely presented groups which admit $k$ -planar Cayley graphs contain finite-index subgroups with planar Cayley graphs. More generally, we answer a question of Georga…

math.GR2025

Connecting conformal dimension and PoincarÃ© profiles

David Hume, John M. Mackay

We strengthen the connection between the Ahlfors-regular (AR) conformal dimension Confdim $(Z)$ of a compact AR metric space $Z$ and a certain critical exponent of the PoincarÃ© pro…

math.GR2025

Property FA for random $ℓ$ -gonal groups

Emily Clement, John M. Mackay

In the binomial $ℓ$ -gonal model for random groups, where the random relations all have fixed length $ℓ \geq 3$ and the number of generators goes to infinity, we establish a do…

Almost planar finitely presented groups

Connecting conformal dimension and PoincarÃ© profiles

Property FA for random ℓ-gonal groups

Property FA for random $ℓ$ -gonal groups