Abelian JSJ decomposition of graphs of free abelian groups

Details Abelian JSJ decomposition of graphs of free abelian groups Abelian JSJ decomposition of graphs of free abelian groups

2010-12-06

arxiv.org/abs/1012.1311v1

Mathematics

Group Theory

19 pages, 6 figures

Scientific paper

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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