Commensurability of Baumslag-Solitar groups
Montserrat Casals-Ruiz, Ilya Kazachkov, Alexander Zakharov
TL;DR
This paper classifies Baumslag-Solitar groups based on their commensurability, providing a solution to the isomorphism problem for a subclass of Generalised Baumslag-Solitar groups, advancing understanding of their structural relationships.
Contribution
It offers a complete classification of Baumslag-Solitar groups up to commensurability and solves the isomorphism problem for a specific subclass of Generalised Baumslag-Solitar groups.
Findings
Baumslag-Solitar groups are classified up to commensurability.
A solution to the isomorphism problem is provided for a subclass of Generalised Baumslag-Solitar groups.
The results clarify the structural relationships among these groups.
Abstract
In this paper we classify Baumslag-Solitar groups up to commensurability. In order to prove our main result we give a solution to the isomorphism problem for a subclass of Generalised Baumslag-Solitar groups.
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