Ascending Chains of Free Quasiconvex Subgroups

2024/05/22 by Kohav, Jack, Lazarovich, Nir
#20E08 #20F65 #20F67 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2405.13534

Abstract

We prove that a hyperbolic group cannot contain a strictly ascending chain of free quasiconvex subgroups of constant rank.

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