On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations

2025/08/04 by Dario Ascari, Ascari, Dario, Montserrat Casals‐Ruiz +3
Mathematics · #20E08 #20F10 #20F28 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2508.02306

openalex publication_date 2025/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the isomorphism problem is decidable for generalized Baumslag-Solitar (GBS) groups with one quasi-conjugacy class and full support gaps. In order to do so we introduce a family of invariants that fully characterize the isomorphism within this class of GBSs.

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