Rigidity of graph products of groups

Abstract

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

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-37.abs.html

References in corpus (2)

• Vanishing theorems and conjectures for the, ${\ell }^2$--homology of right-angled Coxeter groups
• Commensurability of graph products

Cited by in corpus (8)

• The isomorphism problem for Coxeter groups
• Rigidity of graph products of abelian groups
• Recognizing Right-Angled Coxeter Groups Using Involutions
• Generalising some results about right-angled Artin groups to graph products of groups
• The Geometry of Outer Automorphism Groups of Universal Right-Angled Coxeter Groups
• Divergence, thickness and hypergraph index for general Coxeter groups
• Rapid Decay is Preserved by Graph Products
• Measure Theory on Graphs