9 citations · 11 across the 9 of their papers we have counts for
4 papers · 1 filter
On accessibility for pro- groups
Gareth Wilkes
We define the notion of accessibility for a pro- group. We prove that finitely generated pro- groups are accessible given a bound on the size of their finite subgroups. We th…
A criterion for residual -finiteness of arbitrary graphs of finite -groups
Gareth Wilkes
We establish conditions under which the fundamental group of a graph of finite -groups is necessarily residually -finite. The technique of proof is independent of previously…
Profinite completions, cohomology and JSJ decompositions of compact 3-manifolds
Gareth Wilkes
In this paper we extend previous results concerning the behaviour of JSJ decompositions of closed 3-manifolds with respect to the profinite completion to the case of compact 3-mani…
Profinite rigidity of graph manifolds, II: knots and mapping classes
Gareth Wilkes
In this paper we study some consequences of the author's classification of graph manifolds by their profinite fundamental groups. In particular we study commensurability, the behav…