The Conjugacy Problem for ascending HNN-extensions of free groups

2022/09/09 by Alan D. Logan, Logan, Alan D. · 3 citations
Mathematics · #20E06 #20E45 #20F10 #20F65 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2209.04357

openalex publication_date 2022/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an algorithm to solve the Conjugacy Problem for ascending HNN-extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.

Cited by

• Rank 1 phenomena for 1-relator and deficiency 1 groups
• Fixed subgroups of generalised Baumslag-Solitar groups
• The geometry of subgroups of mapping tori of free groups

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• Failure of the finitely generated intersection property for ascending HNN extensions of free groups
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• Relative hyperbolicity of ascending HNN extension of groups