25 citations · 44 across the 5 of their papers we have counts for
6 papers
Subgroups with all finite lifts isomorphic are conjugate
Ido Karshon, Alexander Lubotzky, D. B. McReynolds +2
We show that for non-conjugate subgroups and of a finite group there exists an extension of (by a finite group) in which the pre-images of and are n…
Relatively hyperbolic groups, Grothendieck pairs, and uncountable profinite ambiguity among fibre products
Martin R. Bridson, Alan W. Reid
These notes expand upon our lectures on {\em profinite rigidity} at the international colloquium on randomness, geometry and dynamics, organised by TIFR Mumbai at IISER Pune in Jan…
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…
Determining knot groups by finite quotients
Tamunonye Cheetham-West, Alan W. Reid
We prove that hyperbolic 2-bridge knots are determined amongst all compact 3-manifolds by the profinite completions of their knot groups.
On the profinite rigidity of triangle groups
M. R. Bridson, D. B. McReynolds, A. W. Reid +1
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, i.e. each is distinguished from all other finitely generated, residually finite groups b…
Profinite rigidity and surface bundles over the circle
Martin R. Bridson, Alan W. Reid, Henry Wilton
If is a compact 3-manifold whose first betti number is 1, and is a compact 3-manifold such that and have the same finite quotients, then fibres over the c…