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math.GR2020★ 1 cited
Extensions of hyperbolic groups have locally uniform exponential growth
Robert Kropholler, Rylee Alanza Lyman, Thomas Ng
We introduce a quantitative characterization of subgroup alternatives modeled on the Tits alternative in terms of group laws and investigate when this property is preserved under e…
math.GR2020★ 9 cited
Groups acting on CAT(0) cube complexes with uniform exponential growth
Radhika Gupta, Kasia Jankiewicz, Thomas Ng
We study uniform exponential growth of groups acting on CAT(0) cube complexes. We show that groups acting without global fixed points on CAT(0) square complexes either have uniform…