Abelian JSJ decomposition of graphs of free abelian groups

2010/12/06 by Beeker, Benjamin
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1012.1311

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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