arXiv:1212.3125 Abstract | arXiv Analytics

arXiv:1212.3125 [math.GR]Abstract References Reviews Resources

Compatibility JSJ decomposition of graphs of free abelian groups

Published 2012-12-13, updated 2012-12-14Version 2

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 describe the compatibility JSJ decomposition over abelian groups. We prove that in general this decomposition is not algorithmically computable.

Comments: 46 pages, 22 figures

Categories: math.GR

Keywords: compatibility jsj decomposition, free abelian groups, finite graph, vgbs group, vertex groups

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