most citedAbsolute profinite rigidity, direct products, and finite presentability

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math.GR2023★ 1 cited

Absolute profinite rigidity, direct products, and finite presentability

M. R. Bridson, A. W. Reid, R. Spitler

We prove that there exist finitely presented, residually finite groups that are profinitely rigid in the class of all finitely presented groups but not in the class of all finitely…

math.GR2023

Galois cohomology and profinitely solitary Chevalley groups

Holger Kammeyer, Ryan Spitler

For every number field and every Cartan Killing type, there is an associated split simple algebraic group. We examine whether the corresponding arithmetic subgroups are profinitely…

math.GR2022

Property FA is not a profinite property

Tamunonye Cheetham-West, Alexander Lubotzky, Alan W. Reid +1

We exhibit infinitely many pairs of non-isomorphic finitely presented, residually finite groups and with having Property FA, having a non-trivial action on a tree a…