Failure of the finitely generated intersection property for ascending HNN extensions of free groups

DOI10.1142/S0218196722500370MaRDI QIDQ5084294

Daniel T. Wise, Jacob Bamberger

Publication date: 24 June 2022

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12580

zbMATH Keywords

HNN extensionsfinitely generated subgroupsfree groupsrelatively hyperbolic groupstrain tracksping-pong lemma

Mathematics Subject Classification ID

Geometric group theory (20F65) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• Train tracks and automorphisms of free groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• No growth-gaps for special cube complexes
• Intersection of finitely generated subgroups
• Subgroups of Finite Index in Free Groups
• On the Intersection of Finitely Generated Free Groups

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