Splittings of right-angled Artin groups

2021/03/16 by Michael Hull, Hull, M. · 1 citation
Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2103.09214

openalex publication_date 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that if a right-angled Artin group A(Γ) has a non-trivial, minimal action on a tree T which is not a line, then Γ contains a separating subgraph Λ such that A(Λ) stabilizes an edge in T.

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