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arXiv · 2603.14556

Self-similarity of the generalized Baumslag-Solitar groups

Dessislava H. Kochloukova
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Abstract

We show that all residually finite generalized Baumslag-Solitar groups of rank $n \geq 1$, defined on a finite and connected graph, are self-similar. Furthermore we prove that all residually finite fundamental groups of (finite, connected) graph of groups where all vertex and edge groups are torsion-free and commensurable with the Heisenberg group and all edge groups properly embed in the corresponding vertex groups are self-similar.

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Dessislava H. Kochloukova. 2026-03-15. Self-similarity of the generalized Baumslag-Solitar groups. https://arxiv.org/abs/2603.14556

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