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Splittings of generalized Baumslag-Solitar groups

Max Forester
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Abstract

We study the structure of generalized Baumslag-Solitar groups from the point of view of their (usually non-unique) splittings as fundamental groups of graphs of infinite cyclic groups. We find and characterize certain decompositions of smallest complexity (`fully reduced' decompositions) and give a simplified proof of the existence of deformations. We also prove a finiteness theorem and solve the isomorphism problem for generalized Baumslag-Solitar groups with no non-trivial integral moduli.

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Max Forester. 2005-02-02. Splittings of generalized Baumslag-Solitar groups. https://doi.org/10.1007/s10711-006-9085-9

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