Rigidity of Graph Products of Abelian Groups
نویسندگان
چکیده
We show that if G is a group and G has a graphproduct decomposition with finitely-generated abelian vertex groups, then G has two canonical decompositions as a graph product of groups: a unique decomposition in which each vertex group is a directly-indecomposable cyclic group, and a unique decomposition in which each vertex group is a finitely-generated abelian group and the graph satisfies the T0 property. Our results build on results by Droms, Laurence and Radcliffe.
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تاریخ انتشار 2008