Algebraic and Geometric Topology 3 (2003), paper no. 37, pages 1079-1088.

Rigidity of graph products of groups

David G. Radcliffe

Abstract. We show that if a group can be represented as a graph product of finite directly indecomposable groups, then this representation is unique.

Keywords. Graph products of groups, modular decomposition

AMS subject classification. Primary: 20E34. Secondary: 20F65.

DOI: 10.2140/agt.2003.3.1079

E-print: arXiv:math.GR/0203170

Submitted: 17 March 2002. (Revised: 25 August 2003.) Accepted: 24 September 2003. Published: 22 October 2003.

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David G. Radcliffe
1924 Ford Parkway #10
Saint Paul MN 55116, USA

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