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Abelian JSJ decomposition of graphs of free abelian groups

A group G is a vGBS group if it admits a decomposition as a finite graph of groups with all edge and vertex groups finitely generated and free abelian. We construct the JSJ decomposition of a vGBS group over abelian groups. We prove that this decomposition is explicitly computable, and may be obtained by local changes on the initial graph of groups.

preprint2010arXivOpen access
Benjamin Beeker
math.GR
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Benjamin Beeker

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