arXiv Open Access 2025

On the isomorphism problem for generalized Baumslag-Solitar groups: angles

Dario Ascari Montserrat Casals-Ruiz Ilya Kazachkov

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Abstrak

We introduce a new isomorphism invariant for generalized Baumslag-Solitar (GBS) groups, which we call the limit angle. Unlike previously known invariants, which are primarily algebraic, the limit angle admits a dynamical interpretation, arising exclusively in the case of two interacting edges. This invariant captures subtle geometric behavior that does not manifest in configurations with more interacting edges. As an application, we use the limit angle to obtain a classification of GBS groups with one vertex and two edges.

Topik & Kata Kunci

math.GR

Penulis (3)

Dario Ascari

Montserrat Casals-Ruiz

Ilya Kazachkov

Format Sitasi

APA MLA BibTeX

Ascari, D., Casals-Ruiz, M., Kazachkov, I. (2025). On the isomorphism problem for generalized Baumslag-Solitar groups: angles. https://arxiv.org/abs/2508.03231

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓