Profinite rigidity properties of central extensionsof 2-orbifold groups

We extend Wilkes' results on the profinite rigidity of SFSs to the setting of central extensions of 2-orbifold groups with higher-rank centre. We prove that both rigid and non-rigid phenomena arise in this setting and that the non-rigid phenomena are transient in the sense that if G₁ G₂, then G₁ × Z G₂ × Z.