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arXiv · 1012.1311

Abelian JSJ decomposition of graphs of free abelian groups

Benjamin Beeker
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Abstract

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.

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Benjamin Beeker. 2010-12-06. Abelian JSJ decomposition of graphs of free abelian groups. https://arxiv.org/abs/1012.1311

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