On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups

Published 25 Jun 2025 in math.GR, math.GT, and math.MG | (2506.20161v1)

Abstract: In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich, where he proved the existence of malnormal quasiconvex subgroups in torsion-free hyperbolic groups.

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