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This research investigates the self-similarity of residually finite generalized Baumslag–Solitar groups defined on finite graphs.

Self‐similarity of the generalized Baumslag–Solitar groups

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Analyses self-similarity in residually finite Baumslag–Solitar groups, suggesting implications for group theory.

This research investigates the self-similarity of residually finite generalized Baumslag–Solitar groups defined on finite graphs.
Examined generalized Baumslag–Solitar groups based on finite and connected graphs.
Analyzed conditions under which vertex and edge groups maintain specific properties.
Considered vertex and edge groups being torsion-free and commensurable with the Heisenberg group.
Demonstrated that all examined residually finite Baumslag–Solitar groups are self-similar.
Established that certain graph of groups also exhibit self-similarity under specific conditions.

Dessislava H. Kochloukova (2026) studied this question.

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View Full Paper

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Authors

Analyses self-similarity in residually finite Baumslag–Solitar groups, suggesting implications for group theory.

This research investigates the self-similarity of residually finite generalized Baumslag–Solitar groups defined on finite graphs.
Examined generalized Baumslag–Solitar groups based on finite and connected graphs.
Analyzed conditions under which vertex and edge groups maintain specific properties.
Considered vertex and edge groups being torsion-free and commensurable with the Heisenberg group.
Demonstrated that all examined residually finite Baumslag–Solitar groups are self-similar.
Established that certain graph of groups also exhibit self-similarity under specific conditions.

Dessislava H. Kochloukova (2026) studied this question.

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