Diagram rigidity for geometric amalgamations of free groups

Details Diagram rigidity for geometric amalgamations of free groups Diagram rigidity for geometric amalgamations of free groups

2005-06-24

arxiv.org/abs/math/0506518v1

J. Pure Appl. Algebra 209 (2007), pgs. 771-780

Mathematics

Group Theory

16 pages

Scientific paper

We prove a topological rigidity result for simple, thick, hyperbolic P-manifolds of dimension 2: isomorphism of the fundamental groups implies homeomorphism of the P-manifolds. An immediate application is a diagram rigidity theorem for certain amalgamations of free groups: the direct limits of two such diagrams are isomorphic if and only if there is an isomorphism between the respective diagrams.

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