37 citations · 259 across the 31 of their papers we have counts for
4 papers · 1 filter
Immutability is not uniformly decidable in hyperbolic groups
Daniel Groves, Henry Wilton
A finitely generated subgroup H of a torsion-free hyperbolic group G is called immutable if there are only finitely many conjugacy classes of injections of H into G. We show that t…
Profinite detection of 3-manifold decompositions
Henry Wilton, Pavel Zalesskii
The profinite completion of the fundamental group of a closed, orientable -manifold determines the Kneser--Milnor decomposition. If is irreducible, then the profinite comple…
Generalized triangle groups, expanders, and a problem of Agol and Wise
Alexander Lubotzky, Jason Fox Manning, Henry Wilton
Answering a question asked by Agol and Wise, we show that a desired stronger form of Wise's malnormal special quotient theorem does not hold. The counterexamples are generalization…
Essential surfaces in graph pairs
Henry Wilton
A well known question of Gromov asks whether every one-ended hyperbolic group has a surface subgroup. We give a positive answer when is the fundamental group of a graph of…