RIGIDITY OF GRAPH PRODUCTS OF ABELIAN GROUPS
2008 ◽
Vol 77
(2)
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pp. 187-196
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AbstractWe show that if G is a group and G has a graph-product 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.
2012 ◽
Vol 22
(01)
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pp. 1250003
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2011 ◽
Vol 10
(03)
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pp. 377-389
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1971 ◽
Vol 12
(2)
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pp. 187-192
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2013 ◽
Vol 56
(3)
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pp. 477-490
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1969 ◽
Vol 21
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pp. 712-729
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1975 ◽
Vol 78
(3)
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pp. 357-368
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1998 ◽
Vol 58
(3)
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pp. 479-493
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