On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations
Group Theory
2025-08-05 v1
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.
Keywords
Cite
@article{arxiv.2508.02306,
title = {On the isomorphism problem for generalized Baumslag-Solitar groups: invariants and flexible configurations},
author = {Dario Ascari and Montserrat Casals-Ruiz and Ilya Kazachkov},
journal= {arXiv preprint arXiv:2508.02306},
year = {2025}
}
Comments
52 pages, 2 appendices, 25 figures