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math.GR2012★ 5 cited
Detecting ends of residually finite groups in profinite completions
Owen Cotton-Barratt
Let $\C$ be a variety of finite groups. We use profinite Bass--Serre theory to show that if is a map of finitely generated residually $\C$ groups such that t…
math.GR2009★ 3 cited
Conjugacy separability of 1-acylindrical graphs of free groups
Owen Cotton-Barratt, Henry Wilton
We use the theory of group actions on profinite trees to prove that the fundamental group of a finite, 1-acylindrical graph of free groups with finitely generated edge groups is co…