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math.GR2015★ 6 cited
Transitivity degrees of countable groups and acylindrical hyperbolicity
M. Hull, D. Osin
We prove that every countable acylindrically hyperbolic group admits a highly transitive action with finite kernel. This theorem uniformly generalizes many previously known results…
math.GR2010
Conjugacy Growth in Polycyclic Groups
M. Hull
In this paper, we consider the conjugacy growth function of a group, which counts the number of conjugacy classes which intersect a ball of radius centered at the identity. We…