Abelian JSJ decomposition of graphs of free abelian groups

作者：Beeker Benjamin^*

来源：Journal of Group Theory, 2014, 17(2): 337-359.

DOI：10.1515/jgt-2013-0032

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.

• 出版日期2014-3